#!/usr/bin/env python """ Modified by Mario Voigt 2022, Stadtfabrikanten e.V. Modified by Mario Voigt 2016, Stoutwind, stoutwind.de Modified by Marcus Littwin 2015, Hot-World GmbH & Co. KG, repetier.com Modified by Jay Johnson 2015, J Tech Photonics, Inc., jtechphotonics.com modified by Adam Polak 2014, polakiumengineering.org based on Copyright (C) 2009 Nick Drobchenko, nick@cnc-club.ru based on gcode.py (C) 2007 hugomatic... based on addnodes.py (C) 2005,2007 Aaron Spike, aaron@ekips.org based on dots.py (C) 2005 Aaron Spike, aaron@ekips.org based on interp.py (C) 2005 Aaron Spike, aaron@ekips.org based on bezmisc.py (C) 2005 Aaron Spike, aaron@ekips.org based on cubicsuperpath.py (C) 2005 Aaron Spike, aaron@ekips.org This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program; if not, write to the Free Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA """ import inkex, simplestyle, simplepath import cubicsuperpath, simpletransform, bezmisc import os import math import bezmisc import re import copy import sys import time import cmath import numpy import codecs import random import gettext _ = gettext.gettext ### Check if inkex has errormsg (0.46 version doesnot have one.) Could be removed later. if "errormsg" not in dir(inkex): inkex.errormsg = lambda msg: sys.stderr.write((unicode(msg) + "\n").encode("UTF-8")) def bezierslopeatt(((bx0,by0),(bx1,by1),(bx2,by2),(bx3,by3)),t): ax,ay,bx,by,cx,cy,x0,y0=bezmisc.bezierparameterize(((bx0,by0),(bx1,by1),(bx2,by2),(bx3,by3))) dx=3*ax*(t**2)+2*bx*t+cx dy=3*ay*(t**2)+2*by*t+cy if dx==dy==0 : dx = 6*ax*t+2*bx dy = 6*ay*t+2*by if dx==dy==0 : dx = 6*ax dy = 6*ay if dx==dy==0 : print_("Slope error x = %s*t^3+%s*t^2+%s*t+%s, y = %s*t^3+%s*t^2+%s*t+%s, t = %s, dx==dy==0" % (ax,bx,cx,dx,ay,by,cy,dy,t)) print_(((bx0,by0),(bx1,by1),(bx2,by2),(bx3,by3))) dx, dy = 1, 1 return dx,dy bezmisc.bezierslopeatt = bezierslopeatt def ireplace(self,old,new,count=0): pattern = re.compile(re.escape(old),re.I) return re.sub(pattern,new,self,count) def get_delay(self): delay = self.options.delay_time if self.options.randomize_delay: mindelay = self.options.delay_time - self.options.randomize_delay_lowerval maxdelay = self.options.delay_time + self.options.randomize_delay_upperval delay = round(random.uniform(mindelay, maxdelay),4) if delay < 0: delay = 0 return delay ################################################################################ ### ### Styles and additional parameters ### ################################################################################ math.pi2 = math.pi*2 straight_tolerance = 0.0001 straight_distance_tolerance = 0.0001 options = {} intersection_recursion_depth = 10 intersection_tolerance = 0.00001 styles = { "loft_style" : { 'main curve': simplestyle.formatStyle({ 'stroke': '#88f', 'fill': 'none', 'stroke-width':'1', 'marker-end':'url(#Arrow2Mend)' }), }, "biarc_style" : { 'biarc0': simplestyle.formatStyle({ 'stroke': '#88f', 'fill': 'none', "marker-end":"url(#DrawCurveMarker)", 'stroke-width':'1' }), 'biarc1': simplestyle.formatStyle({ 'stroke': '#8f8', 'fill': 'none', "marker-end":"url(#DrawCurveMarker)", 'stroke-width':'1' }), 'line': simplestyle.formatStyle({ 'stroke': '#f88', 'fill': 'none', "marker-end":"url(#DrawCurveMarker)", 'stroke-width':'1' }), 'area': simplestyle.formatStyle({ 'stroke': '#777', 'fill': 'none', "marker-end":"url(#DrawCurveMarker)", 'stroke-width':'0.1' }), }, "biarc_style_dark" : { 'biarc0': simplestyle.formatStyle({ 'stroke': '#33a', 'fill': 'none', "marker-end":"url(#DrawCurveMarker)", 'stroke-width':'1' }), 'biarc1': simplestyle.formatStyle({ 'stroke': '#3a3', 'fill': 'none', "marker-end":"url(#DrawCurveMarker)", 'stroke-width':'1' }), 'line': simplestyle.formatStyle({ 'stroke': '#a33', 'fill': 'none', "marker-end":"url(#DrawCurveMarker)", 'stroke-width':'1' }), 'area': simplestyle.formatStyle({ 'stroke': '#222', 'fill': 'none', "marker-end":"url(#DrawCurveMarker)", 'stroke-width':'0.3' }), }, "biarc_style_dark_area" : { 'biarc0': simplestyle.formatStyle({ 'stroke': '#33a', 'fill': 'none', "marker-end":"url(#DrawCurveMarker)", 'stroke-width':'0.1' }), 'biarc1': simplestyle.formatStyle({ 'stroke': '#3a3', 'fill': 'none', "marker-end":"url(#DrawCurveMarker)", 'stroke-width':'0.1' }), 'line': simplestyle.formatStyle({ 'stroke': '#a33', 'fill': 'none', "marker-end":"url(#DrawCurveMarker)", 'stroke-width':'0.1' }), 'area': simplestyle.formatStyle({ 'stroke': '#222', 'fill': 'none', "marker-end":"url(#DrawCurveMarker)", 'stroke-width':'0.3' }), }, "biarc_style_i" : { 'biarc0': simplestyle.formatStyle({ 'stroke': '#880', 'fill': 'none', "marker-end":"url(#DrawCurveMarker)", 'stroke-width':'1' }), 'biarc1': simplestyle.formatStyle({ 'stroke': '#808', 'fill': 'none', "marker-end":"url(#DrawCurveMarker)", 'stroke-width':'1' }), 'line': simplestyle.formatStyle({ 'stroke': '#088', 'fill': 'none', "marker-end":"url(#DrawCurveMarker)", 'stroke-width':'1' }), 'area': simplestyle.formatStyle({ 'stroke': '#999', 'fill': 'none', "marker-end":"url(#DrawCurveMarker)", 'stroke-width':'0.3' }), }, "biarc_style_dark_i" : { 'biarc0': simplestyle.formatStyle({ 'stroke': '#dd5', 'fill': 'none', "marker-end":"url(#DrawCurveMarker)", 'stroke-width':'1' }), 'biarc1': simplestyle.formatStyle({ 'stroke': '#d5d', 'fill': 'none', "marker-end":"url(#DrawCurveMarker)", 'stroke-width':'1' }), 'line': simplestyle.formatStyle({ 'stroke': '#5dd', 'fill': 'none', "marker-end":"url(#DrawCurveMarker)", 'stroke-width':'1' }), 'area': simplestyle.formatStyle({ 'stroke': '#aaa', 'fill': 'none', "marker-end":"url(#DrawCurveMarker)", 'stroke-width':'0.3' }), }, "biarc_style_lathe_feed" : { 'biarc0': simplestyle.formatStyle({ 'stroke': '#07f', 'fill': 'none', "marker-end":"url(#DrawCurveMarker)", 'stroke-width':'.4' }), 'biarc1': simplestyle.formatStyle({ 'stroke': '#0f7', 'fill': 'none', "marker-end":"url(#DrawCurveMarker)", 'stroke-width':'.4' }), 'line': simplestyle.formatStyle({ 'stroke': '#f44', 'fill': 'none', "marker-end":"url(#DrawCurveMarker)", 'stroke-width':'.4' }), 'area': simplestyle.formatStyle({ 'stroke': '#aaa', 'fill': 'none', "marker-end":"url(#DrawCurveMarker)", 'stroke-width':'0.3' }), }, "biarc_style_lathe_passing feed" : { 'biarc0': simplestyle.formatStyle({ 'stroke': '#07f', 'fill': 'none', "marker-end":"url(#DrawCurveMarker)", 'stroke-width':'.4' }), 'biarc1': simplestyle.formatStyle({ 'stroke': '#0f7', 'fill': 'none', "marker-end":"url(#DrawCurveMarker)", 'stroke-width':'.4' }), 'line': simplestyle.formatStyle({ 'stroke': '#f44', 'fill': 'none', "marker-end":"url(#DrawCurveMarker)", 'stroke-width':'.4' }), 'area': simplestyle.formatStyle({ 'stroke': '#aaa', 'fill': 'none', "marker-end":"url(#DrawCurveMarker)", 'stroke-width':'0.3' }), }, "biarc_style_lathe_fine feed" : { 'biarc0': simplestyle.formatStyle({ 'stroke': '#7f0', 'fill': 'none', "marker-end":"url(#DrawCurveMarker)", 'stroke-width':'.4' }), 'biarc1': simplestyle.formatStyle({ 'stroke': '#f70', 'fill': 'none', "marker-end":"url(#DrawCurveMarker)", 'stroke-width':'.4' }), 'line': simplestyle.formatStyle({ 'stroke': '#744', 'fill': 'none', "marker-end":"url(#DrawCurveMarker)", 'stroke-width':'.4' }), 'area': simplestyle.formatStyle({ 'stroke': '#aaa', 'fill': 'none', "marker-end":"url(#DrawCurveMarker)", 'stroke-width':'0.3' }), }, "area artefact": simplestyle.formatStyle({ 'stroke': '#ff0000', 'fill': '#ffff00', 'stroke-width':'1' }), "area artefact arrow": simplestyle.formatStyle({ 'stroke': '#ff0000', 'fill': '#ffff00', 'stroke-width':'1' }), "dxf_points": simplestyle.formatStyle({ "stroke": "#ff0000", "fill": "#ff0000"}), } ################################################################################ ### Cubic Super Path additional functions ################################################################################ def csp_simple_bound(csp): minx,miny,maxx,maxy = None,None,None,None for subpath in csp: for sp in subpath : for p in sp: minx = min(minx,p[0]) if minx!=None else p[0] miny = min(miny,p[1]) if miny!=None else p[1] maxx = max(maxx,p[0]) if maxx!=None else p[0] maxy = max(maxy,p[1]) if maxy!=None else p[1] return minx,miny,maxx,maxy def csp_segment_to_bez(sp1,sp2) : return sp1[1:]+sp2[:2] def bound_to_bound_distance(sp1,sp2,sp3,sp4) : min_dist = 1e100 max_dist = 0 points1 = csp_segment_to_bez(sp1,sp2) points2 = csp_segment_to_bez(sp3,sp4) for i in range(4) : for j in range(4) : min_, max_ = line_to_line_min_max_distance_2(points1[i-1], points1[i], points2[j-1], points2[j]) min_dist = min(min_dist,min_) max_dist = max(max_dist,max_) print_("bound_to_bound", min_dist, max_dist) return min_dist, max_dist def csp_to_point_distance(csp, p, dist_bounds = [0,1e100], tolerance=.01) : min_dist = [1e100,0,0,0] for j in range(len(csp)) : for i in range(1,len(csp[j])) : d = csp_seg_to_point_distance(csp[j][i-1],csp[j][i],p,sample_points = 5, tolerance = .01) if d[0] < dist_bounds[0] : # draw_pointer( list(csp_at_t(subpath[dist[2]-1],subpath[dist[2]],dist[3])) # +list(csp_at_t(csp[dist[4]][dist[5]-1],csp[dist[4]][dist[5]],dist[6])),"red","line", comment = math.sqrt(dist[0])) return [d[0],j,i,d[1]] else : if d[0] < min_dist[0] : min_dist = [d[0],j,i,d[1]] return min_dist def csp_seg_to_point_distance(sp1,sp2,p,sample_points = 5, tolerance = .01) : ax,ay,bx,by,cx,cy,dx,dy = csp_parameterize(sp1,sp2) dx, dy = dx-p[0], dy-p[1] if sample_points < 2 : sample_points = 2 d = min( [(p[0]-sp1[1][0])**2 + (p[1]-sp1[1][1])**2,0.], [(p[0]-sp2[1][0])**2 + (p[1]-sp2[1][1])**2,1.] ) for k in range(sample_points) : t = float(k)/(sample_points-1) i = 0 while i==0 or abs(f)>0.000001 and i<20 : t2,t3 = t**2,t**3 f = (ax*t3+bx*t2+cx*t+dx)*(3*ax*t2+2*bx*t+cx) + (ay*t3+by*t2+cy*t+dy)*(3*ay*t2+2*by*t+cy) df = (6*ax*t+2*bx)*(ax*t3+bx*t2+cx*t+dx) + (3*ax*t2+2*bx*t+cx)**2 + (6*ay*t+2*by)*(ay*t3+by*t2+cy*t+dy) + (3*ay*t2+2*by*t+cy)**2 if df!=0 : t = t - f/df else : break i += 1 if 0<=t<=1 : p1 = csp_at_t(sp1,sp2,t) d1 = (p1[0]-p[0])**2 + (p1[1]-p[1])**2 if d1 < d[0] : d = [d1,t] return d def csp_seg_to_csp_seg_distance(sp1,sp2,sp3,sp4, dist_bounds = [0,1e100], sample_points = 5, tolerance=.01) : # check the ending points first dist = csp_seg_to_point_distance(sp1,sp2,sp3[1],sample_points, tolerance) dist += [0.] if dist[0] <= dist_bounds[0] : return dist d = csp_seg_to_point_distance(sp1,sp2,sp4[1],sample_points, tolerance) if d[0]tolerance and i<30 : #draw_pointer(csp_at_t(sp1,sp2,t1)) f1x = 3*ax1*t12+2*bx1*t1+cx1 f1y = 3*ay1*t12+2*by1*t1+cy1 f2x = 3*ax2*t22+2*bx2*t2+cx2 f2y = 3*ay2*t22+2*by2*t2+cy2 F1[0] = 2*f1x*x + 2*f1y*y F1[1] = -2*f2x*x - 2*f2y*y F2[0][0] = 2*(6*ax1*t1+2*bx1)*x + 2*f1x*f1x + 2*(6*ay1*t1+2*by1)*y +2*f1y*f1y F2[0][1] = -2*f1x*f2x - 2*f1y*f2y F2[1][0] = -2*f2x*f1x - 2*f2y*f1y F2[1][1] = -2*(6*ax2*t2+2*bx2)*x + 2*f2x*f2x - 2*(6*ay2*t2+2*by2)*y + 2*f2y*f2y F2 = inv_2x2(F2) if F2!=None : t1 -= ( F2[0][0]*F1[0] + F2[0][1]*F1[1] ) t2 -= ( F2[1][0]*F1[0] + F2[1][1]*F1[1] ) t12, t13, t22, t23 = t1*t1, t1*t1*t1, t2*t2, t2*t2*t2 x,y = ax1*t13+bx1*t12+cx1*t1+dx1 - (ax2*t23+bx2*t22+cx2*t2+dx2), ay1*t13+by1*t12+cy1*t1+dy1 - (ay2*t23+by2*t22+cy2*t2+dy2) Flast = F F = x*x+y*y else : break i += 1 if F < dist[0] and 0<=t1<=1 and 0<=t2<=1: dist = [F,t1,t2] if dist[0] <= dist_bounds[0] : return dist return dist def csp_to_csp_distance(csp1,csp2, dist_bounds = [0,1e100], tolerance=.01) : dist = [1e100,0,0,0,0,0,0] for i1 in range(len(csp1)) : for j1 in range(1,len(csp1[i1])) : for i2 in range(len(csp2)) : for j2 in range(1,len(csp2[i2])) : d = csp_seg_bound_to_csp_seg_bound_max_min_distance(csp1[i1][j1-1],csp1[i1][j1],csp2[i2][j2-1],csp2[i2][j2]) if d[0] >= dist_bounds[1] : continue if d[1] < dist_bounds[0] : return [d[1],i1,j1,1,i2,j2,1] d = csp_seg_to_csp_seg_distance(csp1[i1][j1-1],csp1[i1][j1],csp2[i2][j2-1],csp2[i2][j2], dist_bounds, tolerance=tolerance) if d[0] < dist[0] : dist = [d[0], i1,j1,d[1], i2,j2,d[2]] if dist[0] <= dist_bounds[0] : return dist if dist[0] >= dist_bounds[1] : return dist return dist # draw_pointer( list(csp_at_t(csp1[dist[1]][dist[2]-1],csp1[dist[1]][dist[2]],dist[3])) # + list(csp_at_t(csp2[dist[4]][dist[5]-1],csp2[dist[4]][dist[5]],dist[6])), "#507","line") def csp_split(sp1,sp2,t=.5) : [x1,y1],[x2,y2],[x3,y3],[x4,y4] = sp1[1], sp1[2], sp2[0], sp2[1] x12 = x1+(x2-x1)*t y12 = y1+(y2-y1)*t x23 = x2+(x3-x2)*t y23 = y2+(y3-y2)*t x34 = x3+(x4-x3)*t y34 = y3+(y4-y3)*t x1223 = x12+(x23-x12)*t y1223 = y12+(y23-y12)*t x2334 = x23+(x34-x23)*t y2334 = y23+(y34-y23)*t x = x1223+(x2334-x1223)*t y = y1223+(y2334-y1223)*t return [sp1[0],sp1[1],[x12,y12]], [[x1223,y1223],[x,y],[x2334,y2334]], [[x34,y34],sp2[1],sp2[2]] def csp_true_bounds(csp) : # Finds minx,miny,maxx,maxy of the csp and return their (x,y,i,j,t) minx = [float("inf"), 0, 0, 0] maxx = [float("-inf"), 0, 0, 0] miny = [float("inf"), 0, 0, 0] maxy = [float("-inf"), 0, 0, 0] for i in range(len(csp)): for j in range(1,len(csp[i])): ax,ay,bx,by,cx,cy,x0,y0 = bezmisc.bezierparameterize((csp[i][j-1][1],csp[i][j-1][2],csp[i][j][0],csp[i][j][1])) roots = cubic_solver(0, 3*ax, 2*bx, cx) + [0,1] for root in roots : if type(root) is complex and abs(root.imag)<1e-10: root = root.real if type(root) is not complex and 0<=root<=1: y = ay*(root**3)+by*(root**2)+cy*root+y0 x = ax*(root**3)+bx*(root**2)+cx*root+x0 maxx = max([x,y,i,j,root],maxx) minx = min([x,y,i,j,root],minx) roots = cubic_solver(0, 3*ay, 2*by, cy) + [0,1] for root in roots : if type(root) is complex and root.imag==0: root = root.real if type(root) is not complex and 0<=root<=1: y = ay*(root**3)+by*(root**2)+cy*root+y0 x = ax*(root**3)+bx*(root**2)+cx*root+x0 maxy = max([y,x,i,j,root],maxy) miny = min([y,x,i,j,root],miny) maxy[0],maxy[1] = maxy[1],maxy[0] miny[0],miny[1] = miny[1],miny[0] return minx,miny,maxx,maxy ############################################################################ ### csp_segments_intersection(sp1,sp2,sp3,sp4) ### ### Returns array containig all intersections between two segmets of cubic ### super path. Results are [ta,tb], or [ta0, ta1, tb0, tb1, "Overlap"] ### where ta, tb are values of t for the intersection point. ############################################################################ def csp_segments_intersection(sp1,sp2,sp3,sp4) : a, b = csp_segment_to_bez(sp1,sp2), csp_segment_to_bez(sp3,sp4) def polish_intersection(a,b,ta,tb, tolerance = intersection_tolerance) : ax,ay,bx,by,cx,cy,dx,dy = bezmisc.bezierparameterize(a) ax1,ay1,bx1,by1,cx1,cy1,dx1,dy1 = bezmisc.bezierparameterize(b) i = 0 F, F1 = [.0,.0], [[.0,.0],[.0,.0]] while i==0 or (abs(F[0])**2+abs(F[1])**2 > tolerance and i<10): ta3, ta2, tb3, tb2 = ta**3, ta**2, tb**3, tb**2 F[0] = ax*ta3+bx*ta2+cx*ta+dx-ax1*tb3-bx1*tb2-cx1*tb-dx1 F[1] = ay*ta3+by*ta2+cy*ta+dy-ay1*tb3-by1*tb2-cy1*tb-dy1 F1[0][0] = 3*ax *ta2 + 2*bx *ta + cx F1[0][1] = -3*ax1*tb2 - 2*bx1*tb - cx1 F1[1][0] = 3*ay *ta2 + 2*by *ta + cy F1[1][1] = -3*ay1*tb2 - 2*by1*tb - cy1 det = F1[0][0]*F1[1][1] - F1[0][1]*F1[1][0] if det!=0 : F1 = [ [ F1[1][1]/det, -F1[0][1]/det], [-F1[1][0]/det, F1[0][0]/det] ] ta = ta - ( F1[0][0]*F[0] + F1[0][1]*F[1] ) tb = tb - ( F1[1][0]*F[0] + F1[1][1]*F[1] ) else: break i += 1 return ta, tb def recursion(a,b, ta0,ta1,tb0,tb1, depth_a,depth_b) : global bezier_intersection_recursive_result if a==b : bezier_intersection_recursive_result += [[ta0,tb0,ta1,tb1,"Overlap"]] return tam, tbm = (ta0+ta1)/2, (tb0+tb1)/2 if depth_a>0 and depth_b>0 : a1,a2 = bez_split(a,0.5) b1,b2 = bez_split(b,0.5) if bez_bounds_intersect(a1,b1) : recursion(a1,b1, ta0,tam,tb0,tbm, depth_a-1,depth_b-1) if bez_bounds_intersect(a2,b1) : recursion(a2,b1, tam,ta1,tb0,tbm, depth_a-1,depth_b-1) if bez_bounds_intersect(a1,b2) : recursion(a1,b2, ta0,tam,tbm,tb1, depth_a-1,depth_b-1) if bez_bounds_intersect(a2,b2) : recursion(a2,b2, tam,ta1,tbm,tb1, depth_a-1,depth_b-1) elif depth_a>0 : a1,a2 = bez_split(a,0.5) if bez_bounds_intersect(a1,b) : recursion(a1,b, ta0,tam,tb0,tb1, depth_a-1,depth_b) if bez_bounds_intersect(a2,b) : recursion(a2,b, tam,ta1,tb0,tb1, depth_a-1,depth_b) elif depth_b>0 : b1,b2 = bez_split(b,0.5) if bez_bounds_intersect(a,b1) : recursion(a,b1, ta0,ta1,tb0,tbm, depth_a,depth_b-1) if bez_bounds_intersect(a,b2) : recursion(a,b2, ta0,ta1,tbm,tb1, depth_a,depth_b-1) else : # Both segments have been subdevided enougth. Let's get some intersections :). intersection, t1, t2 = straight_segments_intersection([a[0]]+[a[3]],[b[0]]+[b[3]]) if intersection : if intersection == "Overlap" : t1 = ( max(0,min(1,t1[0]))+max(0,min(1,t1[1])) )/2 t2 = ( max(0,min(1,t2[0]))+max(0,min(1,t2[1])) )/2 bezier_intersection_recursive_result += [[ta0+t1*(ta1-ta0),tb0+t2*(tb1-tb0)]] global bezier_intersection_recursive_result bezier_intersection_recursive_result = [] recursion(a,b,0.,1.,0.,1.,intersection_recursion_depth,intersection_recursion_depth) intersections = bezier_intersection_recursive_result for i in range(len(intersections)) : if len(intersections[i])<5 or intersections[i][4] != "Overlap" : intersections[i] = polish_intersection(a,b,intersections[i][0],intersections[i][1]) return intersections def csp_segments_true_intersection(sp1,sp2,sp3,sp4) : intersections = csp_segments_intersection(sp1,sp2,sp3,sp4) res = [] for intersection in intersections : if ( (len(intersection)==5 and intersection[4] == "Overlap" and (0<=intersection[0]<=1 or 0<=intersection[1]<=1) and (0<=intersection[2]<=1 or 0<=intersection[3]<=1) ) or ( 0<=intersection[0]<=1 and 0<=intersection[1]<=1 ) ) : res += [intersection] return res def csp_get_t_at_curvature(sp1,sp2,c, sample_points = 16): # returns a list containning [t1,t2,t3,...,tn], 0<=ti<=1... if sample_points < 2 : sample_points = 2 tolerance = .0000000001 res = [] ax,ay,bx,by,cx,cy,dx,dy = csp_parameterize(sp1,sp2) for k in range(sample_points) : t = float(k)/(sample_points-1) i, F = 0, 1e100 while i<2 or abs(F)>tolerance and i<17 : try : # some numerical calculation could exceed the limits t2 = t*t #slopes... f1x = 3*ax*t2+2*bx*t+cx f1y = 3*ay*t2+2*by*t+cy f2x = 6*ax*t+2*bx f2y = 6*ay*t+2*by f3x = 6*ax f3y = 6*ay d = (f1x**2+f1y**2)**1.5 F1 = ( ( (f1x*f3y-f3x*f1y)*d - (f1x*f2y-f2x*f1y)*3.*(f2x*f1x+f2y*f1y)*((f1x**2+f1y**2)**.5) ) / ((f1x**2+f1y**2)**3) ) F = (f1x*f2y-f1y*f2x)/d - c t -= F/F1 except: break i += 1 if 0<=t<=1 and F<=tolerance: if len(res) == 0 : res.append(t) for i in res : if abs(t-i)<=0.001 : break if not abs(t-i)<=0.001 : res.append(t) return res def csp_max_curvature(sp1,sp2): ax,ay,bx,by,cx,cy,dx,dy = csp_parameterize(sp1,sp2) tolerance = .0001 F = 0. i = 0 while i<2 or F-Flast 0 : return 1e100 if t1 < 0 : return -1e100 # Use the Lapitals rule to solve 0/0 problem for 2 times... t1 = 2*(bx*ay-ax*by)*t+(ay*cx-ax*cy) if t1 > 0 : return 1e100 if t1 < 0 : return -1e100 t1 = bx*ay-ax*by if t1 > 0 : return 1e100 if t1 < 0 : return -1e100 if depth>0 : # little hack ;^) hope it wont influence anything... return csp_curvature_at_t(sp1,sp2,t*1.004, depth-1) return 1e100 def csp_curvature_radius_at_t(sp1,sp2,t) : c = csp_curvature_at_t(sp1,sp2,t) if c == 0 : return 1e100 else: return 1/c def csp_special_points(sp1,sp2) : # special points = curvature == 0 ax,ay,bx,by,cx,cy,dx,dy = bezmisc.bezierparameterize((sp1[1],sp1[2],sp2[0],sp2[1])) a = 3*ax*by-3*ay*bx b = 3*ax*cy-3*cx*ay c = bx*cy-cx*by roots = cubic_solver(0, a, b, c) res = [] for i in roots : if type(i) is complex and i.imag==0: i = i.real if type(i) is not complex and 0<=i<=1: res.append(i) return res def csp_subpath_ccw(subpath): # Remove all zerro length segments s = 0 #subpath = subpath[:] if (P(subpath[-1][1])-P(subpath[0][1])).l2() > 1e-10 : subpath[-1][2] = subpath[-1][1] subpath[0][0] = subpath[0][1] subpath += [ [subpath[0][1],subpath[0][1],subpath[0][1]] ] pl = subpath[-1][2] for sp1 in subpath: for p in sp1 : s += (p[0]-pl[0])*(p[1]+pl[1]) pl = p return s<0 def csp_at_t(sp1,sp2,t): ax,bx,cx,dx = sp1[1][0], sp1[2][0], sp2[0][0], sp2[1][0] ay,by,cy,dy = sp1[1][1], sp1[2][1], sp2[0][1], sp2[1][1] x1, y1 = ax+(bx-ax)*t, ay+(by-ay)*t x2, y2 = bx+(cx-bx)*t, by+(cy-by)*t x3, y3 = cx+(dx-cx)*t, cy+(dy-cy)*t x4,y4 = x1+(x2-x1)*t, y1+(y2-y1)*t x5,y5 = x2+(x3-x2)*t, y2+(y3-y2)*t x,y = x4+(x5-x4)*t, y4+(y5-y4)*t return [x,y] def csp_splitatlength(sp1, sp2, l = 0.5, tolerance = 0.01): bez = (sp1[1][:],sp1[2][:],sp2[0][:],sp2[1][:]) t = bezmisc.beziertatlength(bez, l, tolerance) return csp_split(sp1, sp2, t) def cspseglength(sp1,sp2, tolerance = 0.001): bez = (sp1[1][:],sp1[2][:],sp2[0][:],sp2[1][:]) return bezmisc.bezierlength(bez, tolerance) def csplength(csp): total = 0 lengths = [] for sp in csp: for i in xrange(1,len(sp)): l = cspseglength(sp[i-1],sp[i]) lengths.append(l) total += l return lengths, total def csp_segments(csp): l, seg = 0, [0] for sp in csp: for i in xrange(1,len(sp)): l += cspseglength(sp[i-1],sp[i]) seg += [ l ] if l>0 : seg = [seg[i]/l for i in xrange(len(seg))] return seg,l def rebuild_csp (csp, segs, s=None): # rebuild_csp() adds to csp control points making it's segments looks like segs if s==None : s, l = csp_segments(csp) if len(s)>len(segs) : return None segs = segs[:] segs.sort() for i in xrange(len(s)): d = None for j in xrange(len(segs)): d = min( [abs(s[i]-segs[j]),j], d) if d!=None else [abs(s[i]-segs[j]),j] del segs[d[1]] for i in xrange(len(segs)): for j in xrange(0,len(s)): if segs[i]t2 : t1, t2 = t2, t1 if t1 == t2 : sp1,sp2,sp3 = csp_split(sp1,sp2,t) return [sp1,sp2,sp2,sp3] elif t1 <= 1e-10 and t2 >= 1.-1e-10 : return [sp1,sp1,sp2,sp2] elif t1 <= 1e-10: sp1,sp2,sp3 = csp_split(sp1,sp2,t2) return [sp1,sp1,sp2,sp3] elif t2 >= 1.-1e-10 : sp1,sp2,sp3 = csp_split(sp1,sp2,t1) return [sp1,sp2,sp3,sp3] else: sp1,sp2,sp3 = csp_split(sp1,sp2,t1) sp2,sp3,sp4 = csp_split(sp2,sp3,(t2-t1)/(1-t1) ) return [sp1,sp2,sp3,sp4] def csp_subpath_split_by_points(subpath, points) : # points are [[i,t]...] where i-segment's number points.sort() points = [[1,0.]] + points + [[len(subpath)-1,1.]] parts = [] for int1,int2 in zip(points,points[1:]) : if int1==int2 : continue if int1[1] == 1. : int1[0] += 1 int1[1] = 0. if int1==int2 : continue if int2[1] == 0. : int2[0] -= 1 int2[1] = 1. if int1[0] == 0 and int2[0]==len(subpath)-1:# and small(int1[1]) and small(int2[1]-1) : continue if int1[0]==int2[0] : # same segment sp = csp_split_by_two_points(subpath[int1[0]-1],subpath[int1[0]],int1[1], int2[1]) if sp[1]!=sp[2] : parts += [ [sp[1],sp[2]] ] else : sp5,sp1,sp2 = csp_split(subpath[int1[0]-1],subpath[int1[0]],int1[1]) sp3,sp4,sp5 = csp_split(subpath[int2[0]-1],subpath[int2[0]],int2[1]) if int1[0]==int2[0]-1 : parts += [ [sp1, [sp2[0],sp2[1],sp3[2]], sp4] ] else : parts += [ [sp1,sp2]+subpath[int1[0]+1:int2[0]-1]+[sp3,sp4] ] return parts def csp_from_arc(start, end, center, r, slope_st) : # Creates csp that approximise specified arc r = abs(r) alpha = (atan2(end[0]-center[0],end[1]-center[1]) - atan2(start[0]-center[0],start[1]-center[1])) % math.pi2 sectors = int(abs(alpha)*2/math.pi)+1 alpha_start = atan2(start[0]-center[0],start[1]-center[1]) cos_,sin_ = math.cos(alpha_start), math.sin(alpha_start) k = (4.*math.tan(alpha/sectors/4.)/3.) if dot(slope_st , [- sin_*k*r, cos_*k*r]) < 0 : if alpha>0 : alpha -= math.pi2 else: alpha += math.pi2 if abs(alpha*r)<0.001 : return [] sectors = int(abs(alpha)*2/math.pi)+1 k = (4.*math.tan(alpha/sectors/4.)/3.) result = [] for i in range(sectors+1) : cos_,sin_ = math.cos(alpha_start + alpha*i/sectors), math.sin(alpha_start + alpha*i/sectors) sp = [ [], [center[0] + cos_*r, center[1] + sin_*r], [] ] sp[0] = [sp[1][0] + sin_*k*r, sp[1][1] - cos_*k*r ] sp[2] = [sp[1][0] - sin_*k*r, sp[1][1] + cos_*k*r ] result += [sp] result[0][0] = result[0][1][:] result[-1][2] = result[-1][1] return result def point_to_arc_distance(p, arc): ### Distance calculattion from point to arc P0,P2,c,a = arc dist = None p = P(p) r = (P0-c).mag() if r>0 : i = c + (p-c).unit()*r alpha = ((i-c).angle() - (P0-c).angle()) if a*alpha<0: if alpha>0: alpha = alpha-math.pi2 else: alpha = math.pi2+alpha if between(alpha,0,a) or min(abs(alpha),abs(alpha-a))tolerance and i<4): i += 1 dl = d1*1 for j in range(n+1): t = float(j)/n p = csp_at_t(sp1,sp2,t) d = min(point_to_arc_distance(p,arc1), point_to_arc_distance(p,arc2)) d1 = max(d1,d) n=n*2 return d1[0] def csp_simple_bound_to_point_distance(p, csp): minx,miny,maxx,maxy = None,None,None,None for subpath in csp: for sp in subpath: for p_ in sp: minx = min(minx,p_[0]) if minx!=None else p_[0] miny = min(miny,p_[1]) if miny!=None else p_[1] maxx = max(maxx,p_[0]) if maxx!=None else p_[0] maxy = max(maxy,p_[1]) if maxy!=None else p_[1] return math.sqrt(max(minx-p[0],p[0]-maxx,0)**2+max(miny-p[1],p[1]-maxy,0)**2) def csp_point_inside_bound(sp1, sp2, p): bez = [sp1[1],sp1[2],sp2[0],sp2[1]] x,y = p c = 0 for i in range(4): [x0,y0], [x1,y1] = bez[i-1], bez[i] if x0-x1!=0 and (y-y0)*(x1-x0)>=(x-x0)*(y1-y0) and x>min(x0,x1) and x<=max(x0,x1) : c +=1 return c%2==0 def csp_bound_to_point_distance(sp1, sp2, p): if csp_point_inside_bound(sp1, sp2, p) : return 0. bez = csp_segment_to_bez(sp1,sp2) min_dist = 1e100 for i in range(0,4): d = point_to_line_segment_distance_2(p, bez[i-1],bez[i]) if d <= min_dist : min_dist = d return min_dist def line_line_intersect(p1,p2,p3,p4) : # Return only true intersection. if (p1[0]==p2[0] and p1[1]==p2[1]) or (p3[0]==p4[0] and p3[1]==p4[1]) : return False x = (p2[0]-p1[0])*(p4[1]-p3[1]) - (p2[1]-p1[1])*(p4[0]-p3[0]) if x==0 : # Lines are parallel if (p3[0]-p1[0])*(p2[1]-p1[1]) == (p3[1]-p1[1])*(p2[0]-p1[0]) : if p3[0]!=p4[0] : t11 = (p1[0]-p3[0])/(p4[0]-p3[0]) t12 = (p2[0]-p3[0])/(p4[0]-p3[0]) t21 = (p3[0]-p1[0])/(p2[0]-p1[0]) t22 = (p4[0]-p1[0])/(p2[0]-p1[0]) else: t11 = (p1[1]-p3[1])/(p4[1]-p3[1]) t12 = (p2[1]-p3[1])/(p4[1]-p3[1]) t21 = (p3[1]-p1[1])/(p2[1]-p1[1]) t22 = (p4[1]-p1[1])/(p2[1]-p1[1]) return ("Overlap" if (0<=t11<=1 or 0<=t12<=1) and (0<=t21<=1 or 0<=t22<=1) else False) else: return False else : return ( 0<=((p4[0]-p3[0])*(p1[1]-p3[1]) - (p4[1]-p3[1])*(p1[0]-p3[0]))/x<=1 and 0<=((p2[0]-p1[0])*(p1[1]-p3[1]) - (p2[1]-p1[1])*(p1[0]-p3[0]))/x<=1 ) def line_line_intersection_points(p1,p2,p3,p4) : # Return only points [ (x,y) ] if (p1[0]==p2[0] and p1[1]==p2[1]) or (p3[0]==p4[0] and p3[1]==p4[1]) : return [] x = (p2[0]-p1[0])*(p4[1]-p3[1]) - (p2[1]-p1[1])*(p4[0]-p3[0]) if x==0 : # Lines are parallel if (p3[0]-p1[0])*(p2[1]-p1[1]) == (p3[1]-p1[1])*(p2[0]-p1[0]) : if p3[0]!=p4[0] : t11 = (p1[0]-p3[0])/(p4[0]-p3[0]) t12 = (p2[0]-p3[0])/(p4[0]-p3[0]) t21 = (p3[0]-p1[0])/(p2[0]-p1[0]) t22 = (p4[0]-p1[0])/(p2[0]-p1[0]) else: t11 = (p1[1]-p3[1])/(p4[1]-p3[1]) t12 = (p2[1]-p3[1])/(p4[1]-p3[1]) t21 = (p3[1]-p1[1])/(p2[1]-p1[1]) t22 = (p4[1]-p1[1])/(p2[1]-p1[1]) res = [] if (0<=t11<=1 or 0<=t12<=1) and (0<=t21<=1 or 0<=t22<=1) : if 0<=t11<=1 : res += [p1] if 0<=t12<=1 : res += [p2] if 0<=t21<=1 : res += [p3] if 0<=t22<=1 : res += [p4] return res else: return [] else : t1 = ((p4[0]-p3[0])*(p1[1]-p3[1]) - (p4[1]-p3[1])*(p1[0]-p3[0]))/x t2 = ((p2[0]-p1[0])*(p1[1]-p3[1]) - (p2[1]-p1[1])*(p1[0]-p3[0]))/x if 0<=t1<=1 and 0<=t2<=1 : return [ [p1[0]*(1-t1)+p2[0]*t1, p1[1]*(1-t1)+p2[1]*t1] ] else : return [] def point_to_point_d2(a,b): return (a[0]-b[0])**2 + (a[1]-b[1])**2 def point_to_point_d(a,b): return math.sqrt((a[0]-b[0])**2 + (a[1]-b[1])**2) def point_to_line_segment_distance_2(p1, p2,p3) : # p1 - point, p2,p3 - line segment #draw_pointer(p1) w0 = [p1[0]-p2[0], p1[1]-p2[1]] v = [p3[0]-p2[0], p3[1]-p2[1]] c1 = w0[0]*v[0] + w0[1]*v[1] if c1 <= 0 : return w0[0]*w0[0]+w0[1]*w0[1] c2 = v[0]*v[0] + v[1]*v[1] if c2 <= c1 : return (p1[0]-p3[0])**2 + (p1[1]-p3[1])**2 return (p1[0]- p2[0]-v[0]*c1/c2)**2 + (p1[1]- p2[1]-v[1]*c1/c2) def line_to_line_distance_2(p1,p2,p3,p4): if line_line_intersect(p1,p2,p3,p4) : return 0 return min( point_to_line_segment_distance_2(p1,p3,p4), point_to_line_segment_distance_2(p2,p3,p4), point_to_line_segment_distance_2(p3,p1,p2), point_to_line_segment_distance_2(p4,p1,p2)) def csp_seg_bound_to_csp_seg_bound_max_min_distance(sp1,sp2,sp3,sp4) : bez1 = csp_segment_to_bez(sp1,sp2) bez2 = csp_segment_to_bez(sp3,sp4) min_dist = 1e100 max_dist = 0. for i in range(4) : if csp_point_inside_bound(sp1, sp2, bez2[i]) or csp_point_inside_bound(sp3, sp4, bez1[i]) : min_dist = 0. break for i in range(4) : for j in range(4) : d = line_to_line_distance_2(bez1[i-1],bez1[i],bez2[j-1],bez2[j]) if d < min_dist : min_dist = d d = (bez2[j][0]-bez1[i][0])**2 + (bez2[j][1]-bez1[i][1])**2 if max_dist < d : max_dist = d return min_dist, max_dist def csp_reverse(csp) : for i in range(len(csp)) : n = [] for j in csp[i] : n = [ [j[2][:],j[1][:],j[0][:]] ] + n csp[i] = n[:] return csp def csp_normalized_slope(sp1,sp2,t) : ax,ay,bx,by,cx,cy,dx,dy=bezmisc.bezierparameterize((sp1[1][:],sp1[2][:],sp2[0][:],sp2[1][:])) if sp1[1]==sp2[1]==sp1[2]==sp2[0] : return [1.,0.] f1x = 3*ax*t*t+2*bx*t+cx f1y = 3*ay*t*t+2*by*t+cy if abs(f1x*f1x+f1y*f1y) > 1e-20 : l = math.sqrt(f1x*f1x+f1y*f1y) return [f1x/l, f1y/l] if t == 0 : f1x = sp2[0][0]-sp1[1][0] f1y = sp2[0][1]-sp1[1][1] if abs(f1x*f1x+f1y*f1y) > 1e-20 : l = math.sqrt(f1x*f1x+f1y*f1y) return [f1x/l, f1y/l] else : f1x = sp2[1][0]-sp1[1][0] f1y = sp2[1][1]-sp1[1][1] if f1x*f1x+f1y*f1y != 0 : l = math.sqrt(f1x*f1x+f1y*f1y) return [f1x/l, f1y/l] elif t == 1 : f1x = sp2[1][0]-sp1[2][0] f1y = sp2[1][1]-sp1[2][1] if abs(f1x*f1x+f1y*f1y) > 1e-20 : l = math.sqrt(f1x*f1x+f1y*f1y) return [f1x/l, f1y/l] else : f1x = sp2[1][0]-sp1[1][0] f1y = sp2[1][1]-sp1[1][1] if f1x*f1x+f1y*f1y != 0 : l = math.sqrt(f1x*f1x+f1y*f1y) return [f1x/l, f1y/l] else : return [1.,0.] def csp_normalized_normal(sp1,sp2,t) : nx,ny = csp_normalized_slope(sp1,sp2,t) return [-ny, nx] def csp_parameterize(sp1,sp2): return bezmisc.bezierparameterize(csp_segment_to_bez(sp1,sp2)) def csp_concat_subpaths(*s): def concat(s1,s2) : if s1 == [] : return s2 if s2 == [] : return s1 if (s1[-1][1][0]-s2[0][1][0])**2 + (s1[-1][1][1]-s2[0][1][1])**2 > 0.00001 : return s1[:-1]+[ [s1[-1][0],s1[-1][1],s1[-1][1]], [s2[0][1],s2[0][1],s2[0][2]] ] + s2[1:] else : return s1[:-1]+[ [s1[-1][0],s2[0][1],s2[0][2]] ] + s2[1:] if len(s) == 0 : return [] if len(s) ==1 : return s[0] result = s[0] for s1 in s[1:]: result = concat(result,s1) return result def csp_draw(csp, color="#05f", group = None, style="fill:none;", width = .1, comment = "") : if csp!=[] and csp!=[[]] : if group == None : group = options.doc_root style += "stroke:"+color+";"+ "stroke-width:%0.4fpx;"%width args = {"d": cubicsuperpath.formatPath(csp), "style":style} if comment!="" : args["comment"] = str(comment) inkex.etree.SubElement( group, inkex.addNS('path','svg'), args ) def csp_subpaths_end_to_start_distance2(s1,s2): return (s1[-1][1][0]-s2[0][1][0])**2 + (s1[-1][1][1]-s2[0][1][1])**2 def csp_clip_by_line(csp,l1,l2) : result = [] for i in range(len(csp)): s = csp[i] intersections = [] for j in range(1,len(s)) : intersections += [ [j,int_] for int_ in csp_line_intersection(l1,l2,s[j-1],s[j])] splitted_s = csp_subpath_split_by_points(s, intersections) for s in splitted_s[:] : clip = False for p in csp_true_bounds([s]) : if (l1[1]-l2[1])*p[0] + (l2[0]-l1[0])*p[1] + (l1[0]*l2[1]-l2[0]*l1[1])<-0.01 : clip = True break if clip : splitted_s.remove(s) result += splitted_s return result def csp_subpath_line_to(subpath, points) : # Appends subpath with line or polyline. if len(points)>0 : if len(subpath)>0: subpath[-1][2] = subpath[-1][1][:] if type(points[0]) == type([1,1]) : for p in points : subpath += [ [p[:],p[:],p[:]] ] else: subpath += [ [points,points,points] ] return subpath def csp_join_subpaths(csp) : result = csp[:] done_smf = True joined_result = [] while done_smf : done_smf = False while len(result)>0: s1 = result[-1][:] del(result[-1]) j = 0 joined_smf = False while j0, abc*bcd>0, abc*cad>0 if m1 and m2 and m3 : return [a,b,c] if m1 and m2 and not m3 : return [a,b,c,d] if m1 and not m2 and m3 : return [a,b,d,c] if not m1 and m2 and m3 : return [a,d,b,c] if m1 and not (m2 and m3) : return [a,b,d] if not (m1 and m2) and m3 : return [c,a,d] if not (m1 and m3) and m2 : return [b,c,d] raise ValueError, "csp_segment_convex_hull happend something that shouldnot happen!" ################################################################################ ### Bezier additional functions ################################################################################ def bez_bounds_intersect(bez1, bez2) : return bounds_intersect(bez_bound(bez2), bez_bound(bez1)) def bez_bound(bez) : return [ min(bez[0][0], bez[1][0], bez[2][0], bez[3][0]), min(bez[0][1], bez[1][1], bez[2][1], bez[3][1]), max(bez[0][0], bez[1][0], bez[2][0], bez[3][0]), max(bez[0][1], bez[1][1], bez[2][1], bez[3][1]), ] def bounds_intersect(a, b) : return not ( (a[0]>b[2]) or (b[0]>a[2]) or (a[1]>b[3]) or (b[1]>a[3]) ) def tpoint((x1,y1),(x2,y2),t): return [x1+t*(x2-x1),y1+t*(y2-y1)] def bez_to_csp_segment(bez) : return [bez[0],bez[0],bez[1]], [bez[2],bez[3],bez[3]] def bez_split(a,t=0.5) : a1 = tpoint(a[0],a[1],t) at = tpoint(a[1],a[2],t) b2 = tpoint(a[2],a[3],t) a2 = tpoint(a1,at,t) b1 = tpoint(b2,at,t) a3 = tpoint(a2,b1,t) return [a[0],a1,a2,a3], [a3,b1,b2,a[3]] def bez_at_t(bez,t) : return csp_at_t([bez[0],bez[0],bez[1]],[bez[2],bez[3],bez[3]],t) def bez_to_point_distance(bez,p,needed_dist=[0.,1e100]): # returns [d^2,t] return csp_seg_to_point_distance(bez_to_csp_segment(bez),p,needed_dist) def bez_normalized_slope(bez,t): return csp_normalized_slope([bez[0],bez[0],bez[1]], [bez[2],bez[3],bez[3]],t) ################################################################################ ### Some vector functions ################################################################################ def normalize((x,y)) : l = math.sqrt(x**2+y**2) if l == 0 : return [0.,0.] else : return [x/l, y/l] def cross(a,b) : return a[1] * b[0] - a[0] * b[1] def dot(a,b) : return a[0] * b[0] + a[1] * b[1] def rotate_ccw(d) : return [-d[1],d[0]] def vectors_ccw(a,b): return a[0]*b[1]-b[0]*a[1] < 0 def vector_from_to_length(a,b): return math.sqrt((a[0]-b[0])*(a[0]-b[0]) + (a[1]-b[1])*(a[1]-b[1])) ################################################################################ ### Common functions ################################################################################ def matrix_mul(a,b) : return [ [ sum([a[i][k]*b[k][j] for k in range(len(a[0])) ]) for j in range(len(b[0]))] for i in range(len(a))] try : return [ [ sum([a[i][k]*b[k][j] for k in range(len(a[0])) ]) for j in range(len(b[0]))] for i in range(len(a))] except : return None def transpose(a) : try : return [ [ a[i][j] for i in range(len(a)) ] for j in range(len(a[0])) ] except : return None def det_3x3(a): return float( a[0][0]*a[1][1]*a[2][2] + a[0][1]*a[1][2]*a[2][0] + a[1][0]*a[2][1]*a[0][2] - a[0][2]*a[1][1]*a[2][0] - a[0][0]*a[2][1]*a[1][2] - a[0][1]*a[2][2]*a[1][0] ) def inv_3x3(a): # invert matrix 3x3 det = det_3x3(a) if det==0: return None return [ [ (a[1][1]*a[2][2] - a[2][1]*a[1][2])/det, -(a[0][1]*a[2][2] - a[2][1]*a[0][2])/det, (a[0][1]*a[1][2] - a[1][1]*a[0][2])/det ], [ -(a[1][0]*a[2][2] - a[2][0]*a[1][2])/det, (a[0][0]*a[2][2] - a[2][0]*a[0][2])/det, -(a[0][0]*a[1][2] - a[1][0]*a[0][2])/det ], [ (a[1][0]*a[2][1] - a[2][0]*a[1][1])/det, -(a[0][0]*a[2][1] - a[2][0]*a[0][1])/det, (a[0][0]*a[1][1] - a[1][0]*a[0][1])/det ] ] def inv_2x2(a): # invert matrix 2x2 det = a[0][0]*a[1][1] - a[1][0]*a[0][1] if det==0: return None return [ [a[1][1]/det, -a[0][1]/det], [-a[1][0]/det, a[0][0]/det] ] def small(a) : global small_tolerance return abs(a)=0 : t = m+math.sqrt(n) m1 = pow(t/2,1./3) if t>=0 else -pow(-t/2,1./3) t = m-math.sqrt(n) n1 = pow(t/2,1./3) if t>=0 else -pow(-t/2,1./3) else : m1 = pow(complex((m+cmath.sqrt(n))/2),1./3) n1 = pow(complex((m-cmath.sqrt(n))/2),1./3) x1 = -1./3 * (a + m1 + n1) x2 = -1./3 * (a + w1*m1 + w2*n1) x3 = -1./3 * (a + w2*m1 + w1*n1) return [x1,x2,x3] elif b!=0: det = c**2-4*b*d if det>0 : return [(-c+math.sqrt(det))/(2*b),(-c-math.sqrt(det))/(2*b)] elif d == 0 : return [-c/(b*b)] else : return [(-c+cmath.sqrt(det))/(2*b),(-c-cmath.sqrt(det))/(2*b)] elif c!=0 : return [-d/c] else : return [] ################################################################################ ### print_ prints any arguments into specified log file ################################################################################ def print_(*arg): f = open(options.log_filename,"a") for s in arg : s = str(unicode(s).encode('unicode_escape'))+" " f.write( s ) f.write("\n") f.close() ################################################################################ ### Point (x,y) operations ################################################################################ class P: def __init__(self, x, y=None): if not y==None: self.x, self.y = float(x), float(y) else: self.x, self.y = float(x[0]), float(x[1]) def __add__(self, other): return P(self.x + other.x, self.y + other.y) def __sub__(self, other): return P(self.x - other.x, self.y - other.y) def __neg__(self): return P(-self.x, -self.y) def __mul__(self, other): if isinstance(other, P): return self.x * other.x + self.y * other.y return P(self.x * other, self.y * other) __rmul__ = __mul__ def __div__(self, other): return P(self.x / other, self.y / other) def mag(self): return math.hypot(self.x, self.y) def unit(self): h = self.mag() if h: return self / h else: return P(0,0) def dot(self, other): return self.x * other.x + self.y * other.y def rot(self, theta): c = math.cos(theta) s = math.sin(theta) return P(self.x * c - self.y * s, self.x * s + self.y * c) def angle(self): return math.atan2(self.y, self.x) def __repr__(self): return '%f,%f' % (self.x, self.y) def pr(self): return "%.2f,%.2f" % (self.x, self.y) def to_list(self): return [self.x, self.y] def ccw(self): return P(-self.y,self.x) def l2(self): return self.x*self.x + self.y*self.y ################################################################################ ### ### Offset function ### ### This function offsets given cubic super path. ### It's based on src/livarot/PathOutline.cpp from Inkscape's source code. ### ### ################################################################################ def csp_offset(csp, r) : offset_tolerance = 0.05 offset_subdivision_depth = 10 time_ = time.time() time_start = time_ print_("Offset start at %s"% time_) print_("Offset radius %s"% r) def csp_offset_segment(sp1,sp2,r) : result = [] t = csp_get_t_at_curvature(sp1,sp2,1/r) if len(t) == 0 : t =[0.,1.] t.sort() if t[0]>.00000001 : t = [0.]+t if t[-1]<.99999999 : t.append(1.) for st,end in zip(t,t[1:]) : c = csp_curvature_at_t(sp1,sp2,(st+end)/2) sp = csp_split_by_two_points(sp1,sp2,st,end) if sp[1]!=sp[2]: if (c>1/r and r<0 or c<1/r and r>0) : offset = offset_segment_recursion(sp[1],sp[2],r, offset_subdivision_depth, offset_tolerance) else : # This part will be clipped for sure... TODO Optimize it... offset = offset_segment_recursion(sp[1],sp[2],r, offset_subdivision_depth, offset_tolerance) if result==[] : result = offset[:] else: if csp_subpaths_end_to_start_distance2(result,offset)<0.0001 : result = csp_concat_subpaths(result,offset) else: intersection = csp_get_subapths_last_first_intersection(result,offset) if intersection != [] : i,t1,j,t2 = intersection sp1_,sp2_,sp3_ = csp_split(result[i-1],result[i],t1) result = result[:i-1] + [ sp1_, sp2_ ] sp1_,sp2_,sp3_ = csp_split(offset[j-1],offset[j],t2) result = csp_concat_subpaths( result, [sp2_,sp3_] + offset[j+1:] ) else : pass # ??? #raise ValueError, "Offset curvature clipping error" #csp_draw([result]) return result def create_offset_segment(sp1,sp2,r) : # See Gernot Hoffmann "Bezier Curves" p.34 -> 7.1 Bezier Offset Curves p0,p1,p2,p3 = P(sp1[1]),P(sp1[2]),P(sp2[0]),P(sp2[1]) s0,s1,s3 = p1-p0,p2-p1,p3-p2 n0 = s0.ccw().unit() if s0.l2()!=0 else P(csp_normalized_normal(sp1,sp2,0)) n3 = s3.ccw().unit() if s3.l2()!=0 else P(csp_normalized_normal(sp1,sp2,1)) n1 = s1.ccw().unit() if s1.l2()!=0 else (n0.unit()+n3.unit()).unit() q0,q3 = p0+r*n0, p3+r*n3 c = csp_curvature_at_t(sp1,sp2,0) q1 = q0 + (p1-p0)*(1- (r*c if abs(c)<100 else 0) ) c = csp_curvature_at_t(sp1,sp2,1) q2 = q3 + (p2-p3)*(1- (r*c if abs(c)<100 else 0) ) return [[q0.to_list(), q0.to_list(), q1.to_list()],[q2.to_list(), q3.to_list(), q3.to_list()]] def csp_get_subapths_last_first_intersection(s1,s2): _break = False for i in range(1,len(s1)) : sp11, sp12 = s1[-i-1], s1[-i] for j in range(1,len(s2)) : sp21,sp22 = s2[j-1], s2[j] intersection = csp_segments_true_intersection(sp11,sp12,sp21,sp22) if intersection != [] : _break = True break if _break:break if _break : intersection = max(intersection) return [len(s1)-i,intersection[0], j,intersection[1]] else : return [] def csp_join_offsets(prev,next,sp1,sp2,sp1_l,sp2_l,r): if len(next)>1 : if (P(prev[-1][1])-P(next[0][1])).l2()<0.001 : return prev,[],next intersection = csp_get_subapths_last_first_intersection(prev,next) if intersection != [] : i,t1,j,t2 = intersection sp1_,sp2_,sp3_ = csp_split(prev[i-1],prev[i],t1) sp3_,sp4_,sp5_ = csp_split(next[j-1], next[j],t2) return prev[:i-1] + [ sp1_, sp2_ ], [], [sp4_,sp5_] + next[j+1:] # Offsets do not intersect... will add an arc... start = (P(csp_at_t(sp1_l,sp2_l,1.)) + r*P(csp_normalized_normal(sp1_l,sp2_l,1.))).to_list() end = (P(csp_at_t(sp1,sp2,0.)) + r*P(csp_normalized_normal(sp1,sp2,0.))).to_list() arc = csp_from_arc(start, end, sp1[1], r, csp_normalized_slope(sp1_l,sp2_l,1.) ) if arc == [] : return prev,[],next else: # Clip prev by arc if csp_subpaths_end_to_start_distance2(prev,arc)>0.00001 : intersection = csp_get_subapths_last_first_intersection(prev,arc) if intersection != [] : i,t1,j,t2 = intersection sp1_,sp2_,sp3_ = csp_split(prev[i-1],prev[i],t1) sp3_,sp4_,sp5_ = csp_split(arc[j-1],arc[j],t2) prev = prev[:i-1] + [ sp1_, sp2_ ] arc = [sp4_,sp5_] + arc[j+1:] #else : raise ValueError, "Offset curvature clipping error" # Clip next by arc if next == [] : return prev,[],arc if csp_subpaths_end_to_start_distance2(arc,next)>0.00001 : intersection = csp_get_subapths_last_first_intersection(arc,next) if intersection != [] : i,t1,j,t2 = intersection sp1_,sp2_,sp3_ = csp_split(arc[i-1],arc[i],t1) sp3_,sp4_,sp5_ = csp_split(next[j-1],next[j],t2) arc = arc[:i-1] + [ sp1_, sp2_ ] next = [sp4_,sp5_] + next[j+1:] #else : raise ValueError, "Offset curvature clipping error" return prev,arc,next def offset_segment_recursion(sp1,sp2,r, depth, tolerance) : sp1_r,sp2_r = create_offset_segment(sp1,sp2,r) err = max( csp_seg_to_point_distance(sp1_r,sp2_r, (P(csp_at_t(sp1,sp2,.25)) + P(csp_normalized_normal(sp1,sp2,.25))*r).to_list())[0], csp_seg_to_point_distance(sp1_r,sp2_r, (P(csp_at_t(sp1,sp2,.50)) + P(csp_normalized_normal(sp1,sp2,.50))*r).to_list())[0], csp_seg_to_point_distance(sp1_r,sp2_r, (P(csp_at_t(sp1,sp2,.75)) + P(csp_normalized_normal(sp1,sp2,.75))*r).to_list())[0], ) if err>tolerance**2 and depth>0: #print_(csp_seg_to_point_distance(sp1_r,sp2_r, (P(csp_at_t(sp1,sp2,.25)) + P(csp_normalized_normal(sp1,sp2,.25))*r).to_list())[0], tolerance) if depth > offset_subdivision_depth-2 : t = csp_max_curvature(sp1,sp2) t = max(.1,min(.9 ,t)) else : t = .5 sp3,sp4,sp5 = csp_split(sp1,sp2,t) r1 = offset_segment_recursion(sp3,sp4,r, depth-1, tolerance) r2 = offset_segment_recursion(sp4,sp5,r, depth-1, tolerance) return r1[:-1]+ [[r1[-1][0],r1[-1][1],r2[0][2]]] + r2[1:] else : #csp_draw([[sp1_r,sp2_r]]) #draw_pointer(sp1[1]+sp1_r[1], "#057", "line") #draw_pointer(sp2[1]+sp2_r[1], "#705", "line") return [sp1_r,sp2_r] ############################################################################ # Some small definitions ############################################################################ csp_len = len(csp) ############################################################################ # Prepare the path ############################################################################ # Remove all small segments (segment length < 0.001) for i in xrange(len(csp)) : for j in xrange(len(csp[i])) : sp = csp[i][j] if (P(sp[1])-P(sp[0])).mag() < 0.001 : csp[i][j][0] = sp[1] if (P(sp[2])-P(sp[0])).mag() < 0.001 : csp[i][j][2] = sp[1] for i in xrange(len(csp)) : for j in xrange(1,len(csp[i])) : if cspseglength(csp[i][j-1], csp[i][j])<0.001 : csp[i] = csp[i][:j] + csp[i][j+1:] if cspseglength(csp[i][-1],csp[i][0])>0.001 : csp[i][-1][2] = csp[i][-1][1] csp[i]+= [ [csp[i][0][1],csp[i][0][1],csp[i][0][1]] ] # TODO Get rid of self intersections. original_csp = csp[:] # Clip segments which has curvature>1/r. Because their offset will be selfintersecting and very nasty. print_("Offset prepared the path in %s"%(time.time()-time_)) print_("Path length = %s"% sum([len(i)for i in csp] ) ) time_ = time.time() ############################################################################ # Offset ############################################################################ # Create offsets for all segments in the path. And join them together inside each subpath. unclipped_offset = [[] for i in xrange(csp_len)] offsets_original = [[] for i in xrange(csp_len)] join_points = [[] for i in xrange(csp_len)] intersection = [[] for i in xrange(csp_len)] for i in xrange(csp_len) : subpath = csp[i] subpath_offset = [] last_offset_len = 0 for sp1,sp2 in zip(subpath, subpath[1:]) : segment_offset = csp_offset_segment(sp1,sp2,r) if subpath_offset == [] : subpath_offset = segment_offset prev_l = len(subpath_offset) else : prev, arc, next = csp_join_offsets(subpath_offset[-prev_l:],segment_offset,sp1,sp2,sp1_l,sp2_l,r) #csp_draw([prev],"Blue") #csp_draw([arc],"Magenta") subpath_offset = csp_concat_subpaths(subpath_offset[:-prev_l+1],prev,arc,next) prev_l = len(next) sp1_l, sp2_l = sp1[:], sp2[:] # Join last and first offsets togother to close the curve prev, arc, next = csp_join_offsets(subpath_offset[-prev_l:], subpath_offset[:2], subpath[0], subpath[1], sp1_l,sp2_l, r) subpath_offset[:2] = next[:] subpath_offset = csp_concat_subpaths(subpath_offset[:-prev_l+1],prev,arc) #csp_draw([prev],"Blue") #csp_draw([arc],"Red") #csp_draw([next],"Red") # Collect subpath's offset and save it to unclipped offset list. unclipped_offset[i] = subpath_offset[:] #for k,t in intersection[i]: # draw_pointer(csp_at_t(subpath_offset[k-1], subpath_offset[k], t)) #inkex.etree.SubElement( options.doc_root, inkex.addNS('path','svg'), {"d": cubicsuperpath.formatPath(unclipped_offset), "style":"fill:none;stroke:#0f0;"} ) print_("Offsetted path in %s"%(time.time()-time_)) time_ = time.time() #for i in range(len(unclipped_offset)): # csp_draw([unclipped_offset[i]], color = ["Green","Red","Blue"][i%3], width = .1) #return [] ############################################################################ # Now to the clipping. ############################################################################ # First of all find all intersection's between all segments of all offseted subpaths, including self intersections. #TODO define offset tolerance here global small_tolerance small_tolerance = 0.01 summ = 0 summ1 = 0 for subpath_i in xrange(csp_len) : for subpath_j in xrange(subpath_i,csp_len) : subpath = unclipped_offset[subpath_i] subpath1 = unclipped_offset[subpath_j] for i in xrange(1,len(subpath)) : # If subpath_i==subpath_j we are looking for self intersections, so # we'll need search intersections only for xrange(i,len(subpath1)) for j in ( xrange(i,len(subpath1)) if subpath_i==subpath_j else xrange(len(subpath1))) : if subpath_i==subpath_j and j==i : # Find self intersections of a segment sp1,sp2,sp3 = csp_split(subpath[i-1],subpath[i],.5) intersections = csp_segments_intersection(sp1,sp2,sp2,sp3) summ +=1 for t in intersections : summ1 += 1 if not ( small(t[0]-1) and small(t[1]) ) and 0<=t[0]<=1 and 0<=t[1]<=1 : intersection[subpath_i] += [ [i,t[0]/2],[j,t[1]/2+.5] ] else : intersections = csp_segments_intersection(subpath[i-1],subpath[i],subpath1[j-1],subpath1[j]) summ +=1 for t in intersections : summ1 += 1 #TODO tolerance dependence to cpsp_length(t) if len(t) == 2 and 0<=t[0]<=1 and 0<=t[1]<=1 and not ( subpath_i==subpath_j and ( (j-i-1) % (len(subpath)-1) == 0 and small(t[0]-1) and small(t[1]) or (i-j-1) % (len(subpath)-1) == 0 and small(t[1]-1) and small(t[0]) ) ) : intersection[subpath_i] += [ [i,t[0]] ] intersection[subpath_j] += [ [j,t[1]] ] #draw_pointer(csp_at_t(subpath[i-1],subpath[i],t[0]),"#f00") #print_(t) #print_(i,j) elif len(t)==5 and t[4]=="Overlap": intersection[subpath_i] += [ [i,t[0]], [i,t[1]] ] intersection[subpath_j] += [ [j,t[1]], [j,t[3]] ] print_("Intersections found in %s"%(time.time()-time_)) print_("Examined %s segments"%(summ)) print_("found %s intersections"%(summ1)) time_ = time.time() ######################################################################## # Split unclipped offset by intersection points into splitted_offset ######################################################################## splitted_offset = [] for i in xrange(csp_len) : subpath = unclipped_offset[i] if len(intersection[i]) > 0 : parts = csp_subpath_split_by_points(subpath, intersection[i]) # Close parts list to close path (The first and the last parts are joined together) if [1,0.] not in intersection[i] : parts[0][0][0] = parts[-1][-1][0] parts[0] = csp_concat_subpaths(parts[-1], parts[0]) splitted_offset += parts[:-1] else: splitted_offset += parts[:] else : splitted_offset += [subpath[:]] #for i in range(len(splitted_offset)): # csp_draw([splitted_offset[i]], color = ["Green","Red","Blue"][i%3]) print_("Splitted in %s"%(time.time()-time_)) time_ = time.time() ######################################################################## # Clipping ######################################################################## result = [] for subpath_i in range(len(splitted_offset)): clip = False s1 = splitted_offset[subpath_i] for subpath_j in range(len(splitted_offset)): s2 = splitted_offset[subpath_j] if (P(s1[0][1])-P(s2[-1][1])).l2()<0.0001 and ( (subpath_i+1) % len(splitted_offset) != subpath_j ): if dot(csp_normalized_normal(s2[-2],s2[-1],1.),csp_normalized_slope(s1[0],s1[1],0.))*r<-0.0001 : clip = True break if (P(s2[0][1])-P(s1[-1][1])).l2()<0.0001 and ( (subpath_j+1) % len(splitted_offset) != subpath_i ): if dot(csp_normalized_normal(s2[0],s2[1],0.),csp_normalized_slope(s1[-2],s1[-1],1.))*r>0.0001 : clip = True break if not clip : result += [s1[:]] elif options.offset_draw_clippend_path : csp_draw([s1],color="Red",width=.1) draw_pointer( csp_at_t(s2[-2],s2[-1],1.)+ (P(csp_at_t(s2[-2],s2[-1],1.))+ P(csp_normalized_normal(s2[-2],s2[-1],1.))*10).to_list(),"Green", "line" ) draw_pointer( csp_at_t(s1[0],s1[1],0.)+ (P(csp_at_t(s1[0],s1[1],0.))+ P(csp_normalized_slope(s1[0],s1[1],0.))*10).to_list(),"Red", "line" ) # Now join all together and check closure and orientation of result joined_result = csp_join_subpaths(result) # Check if each subpath from joined_result is closed #csp_draw(joined_result,color="Green",width=1) for s in joined_result[:] : if csp_subpaths_end_to_start_distance2(s,s) > 0.001 : # Remove open parts if options.offset_draw_clippend_path: csp_draw([s],color="Orange",width=1) draw_pointer(s[0][1], comment= csp_subpaths_end_to_start_distance2(s,s)) draw_pointer(s[-1][1], comment = csp_subpaths_end_to_start_distance2(s,s)) joined_result.remove(s) else : # Remove small parts minx,miny,maxx,maxy = csp_true_bounds([s]) if (minx[0]-maxx[0])**2 + (miny[1]-maxy[1])**2 < 0.1 : joined_result.remove(s) print_("Clipped and joined path in %s"%(time.time()-time_)) time_ = time.time() ######################################################################## # Now to the Dummy cliping: remove parts from splitted offset if their # centers are closer to the original path than offset radius. ######################################################################## r1,r2 = ( (0.99*r)**2, (1.01*r)**2 ) if abs(r*.01)<1 else ((abs(r)-1)**2, (abs(r)+1)**2) for s in joined_result[:]: dist = csp_to_point_distance(original_csp, s[int(len(s)/2)][1], dist_bounds = [r1,r2], tolerance = .000001) if not r1 < dist[0] < r2 : joined_result.remove(s) if options.offset_draw_clippend_path: csp_draw([s], comment = math.sqrt(dist[0])) draw_pointer(csp_at_t(csp[dist[1]][dist[2]-1],csp[dist[1]][dist[2]],dist[3])+s[int(len(s)/2)][1],"blue", "line", comment = [math.sqrt(dist[0]),i,j,sp] ) print_("-----------------------------") print_("Total offset time %s"%(time.time()-time_start)) print_() return joined_result ################################################################################ ### ### Biarc function ### ### Calculates biarc approximation of cubic super path segment ### splits segment if needed or approximates it with straight line ### ################################################################################ def biarc(sp1, sp2, z1, z2, depth=0): def biarc_split(sp1,sp2, z1, z2, depth): if depth 0 : raise ValueError, (a,b,c,disq,beta1,beta2) beta = max(beta1, beta2) elif asmall and bsmall: return biarc_split(sp1, sp2, z1, z2, depth) alpha = beta * r ab = alpha + beta P1 = P0 + alpha * TS P3 = P4 - beta * TE P2 = (beta / ab) * P1 + (alpha / ab) * P3 def calculate_arc_params(P0,P1,P2): D = (P0+P2)/2 if (D-P1).mag()==0: return None, None R = D - ( (D-P0).mag()**2/(D-P1).mag() )*(P1-D).unit() p0a, p1a, p2a = (P0-R).angle()%(2*math.pi), (P1-R).angle()%(2*math.pi), (P2-R).angle()%(2*math.pi) alpha = (p2a - p0a) % (2*math.pi) if (p0a1000000 or abs(R.y)>1000000 or (R-P0).mag<.1 : return None, None else : return R, alpha R1,a1 = calculate_arc_params(P0,P1,P2) R2,a2 = calculate_arc_params(P2,P3,P4) if R1==None or R2==None or (R1-P0).mag() options.biarc_tolerance and depthls : res += [seg] else : if seg[1] == "arc" : r = math.sqrt((seg[0][0]-seg[2][0])**2+(seg[0][1]-seg[2][1])**2) x,y = seg[0][0]-seg[2][0], seg[0][1]-seg[2][1] a = seg[3]/ls*(l-lc) x,y = x*math.cos(a) - y*math.sin(a), x*math.sin(a) + y*math.cos(a) x,y = x+seg[2][0], y+seg[2][1] res += [[ seg[0], "arc", seg[2], a, [x,y], [seg[5][0],seg[5][1]/ls*(l-lc)] ]] if seg[1] == "line" : res += [[ seg[0], "line", 0, 0, [(seg[4][0]-seg[0][0])/ls*(l-lc),(seg[4][1]-seg[0][1])/ls*(l-lc)], [seg[5][0],seg[5][1]/ls*(l-lc)] ]] i += 1 if i >= len(subcurve) and not subcurve_closed: reverse = not reverse i = i%len(subcurve) return res ################################################################################ ### Polygon class ################################################################################ class Polygon: def __init__(self, polygon=None): self.polygon = [] if polygon==None else polygon[:] def move(self, x, y) : for i in range(len(self.polygon)) : for j in range(len(self.polygon[i])) : self.polygon[i][j][0] += x self.polygon[i][j][1] += y def bounds(self) : minx,miny,maxx,maxy = 1e400, 1e400, -1e400, -1e400 for poly in self.polygon : for p in poly : if minx > p[0] : minx = p[0] if miny > p[1] : miny = p[1] if maxx < p[0] : maxx = p[0] if maxy < p[1] : maxy = p[1] return minx*1,miny*1,maxx*1,maxy*1 def width(self): b = self.bounds() return b[2]-b[0] def rotate_(self,sin,cos) : for i in range(len(self.polygon)) : for j in range(len(self.polygon[i])) : x,y = self.polygon[i][j][0], self.polygon[i][j][1] self.polygon[i][j][0] = x*cos - y*sin self.polygon[i][j][1] = x*sin + y*cos def rotate(self, a): cos, sin = math.cos(a), math.sin(a) self.rotate_(sin,cos) def drop_into_direction(self, direction, surface) : # Polygon is a list of simple polygons # Surface is a polygon + line y = 0 # Direction is [dx,dy] if len(self.polygon) == 0 or len(self.polygon[0])==0 : return if direction[0]**2 + direction[1]**2 <1e-10 : return direction = normalize(direction) sin,cos = direction[0], -direction[1] self.rotate_(-sin,cos) surface.rotate_(-sin,cos) self.drop_down(surface, zerro_plane = False) self.rotate_(sin,cos) surface.rotate_(sin,cos) def centroid(self): centroids = [] sa = 0 for poly in self.polygon: cx,cy,a = 0,0,0 for i in range(len(poly)): [x1,y1],[x2,y2] = poly[i-1],poly[i] cx += (x1+x2)*(x1*y2-x2*y1) cy += (y1+y2)*(x1*y2-x2*y1) a += (x1*y2-x2*y1) a *= 3. if abs(a)>0 : cx /= a cy /= a sa += abs(a) centroids += [ [cx,cy,a] ] if sa == 0 : return [0.,0.] cx,cy = 0.,0. for c in centroids : cx += c[0]*c[2] cy += c[1]*c[2] cx /= sa cy /= sa return [cx,cy] def drop_down(self, surface, zerro_plane = True) : # Polygon is a list of simple polygons # Surface is a polygon + line y = 0 # Down means min y (0,-1) if len(self.polygon) == 0 or len(self.polygon[0])==0 : return # Get surface top point top = surface.bounds()[3] if zerro_plane : top = max(0, top) # Get polygon bottom point bottom = self.bounds()[1] self.move(0, top - bottom + 10) # Now get shortest distance from surface to polygon in positive x=0 direction # Such distance = min(distance(vertex, edge)...) where edge from surface and # vertex from polygon and vice versa... dist = 1e300 for poly in surface.polygon : for i in range(len(poly)) : for poly1 in self.polygon : for i1 in range(len(poly1)) : st,end = poly[i-1], poly[i] vertex = poly1[i1] if st[0]<=vertex[0]<= end[0] or end[0]<=vertex[0]<=st[0] : if st[0]==end[0] : d = min(vertex[1]-st[1],vertex[1]-end[1]) else : d = vertex[1] - st[1] - (end[1]-st[1])*(vertex[0]-st[0])/(end[0]-st[0]) if dist > d : dist = d # and vice versa just change the sign because vertex now under the edge st,end = poly1[i1-1], poly1[i1] vertex = poly[i] if st[0]<=vertex[0]<=end[0] or end[0]<=vertex[0]<=st[0] : if st[0]==end[0] : d = min(- vertex[1]+st[1],-vertex[1]+end[1]) else : d = - vertex[1] + st[1] + (end[1]-st[1])*(vertex[0]-st[0])/(end[0]-st[0]) if dist > d : dist = d if zerro_plane and dist > 10 + top : dist = 10 + top #print_(dist, top, bottom) #self.draw() self.move(0, -dist) def draw(self,color="#075",width=.1) : for poly in self.polygon : csp_draw( [csp_subpath_line_to([],poly+[poly[0]])], color=color,width=width ) def add(self, add) : if type(add) == type([]) : self.polygon += add[:] else : self.polygon += add.polygon[:] def point_inside(self,p) : inside = False for poly in self.polygon : for i in range(len(poly)): st,end = poly[i-1], poly[i] if p==st or p==end : return True # point is a vertex = point is on the edge if st[0]>end[0] : st, end = end, st # This will be needed to check that edge if open only at rigth end c = (p[1]-st[1])*(end[0]-st[0])-(end[1]-st[1])*(p[0]-st[0]) #print_(c) if st[0]<=p[0]0.000001 and point_to_point_d2(p,e)>0.000001 : poly_ += [p] # Check self intersections with other polys for i2 in range(len(self.polygon)): if i1==i2 : continue poly2 = self.polygon[i2] for j2 in range(len(poly2)): s1, e1 = poly2[j2-1],poly2[j2] int_ = line_line_intersection_points(s,e,s1,e1) for p in int_ : if point_to_point_d2(p,s)>0.000001 and point_to_point_d2(p,e)>0.000001 : poly_ += [p] hull += [poly_] # Create the dictionary containing all edges in both directions edges = {} for poly in self.polygon : for i in range(len(poly)): s,e = tuple(poly[i-1]), tuple(poly[i]) if (point_to_point_d2(e,s)<0.000001) : continue break_s, break_e = False, False for p in edges : if point_to_point_d2(p,s)<0.000001 : break_s = True s = p if point_to_point_d2(p,e)<0.000001 : break_e = True e = p if break_s and break_e : break l = point_to_point_d(s,e) if not break_s and not break_e : edges[s] = [ [s,e,l] ] edges[e] = [ [e,s,l] ] #draw_pointer(s+e,"red","line") #draw_pointer(s+e,"red","line") else : if e in edges : for edge in edges[e] : if point_to_point_d2(edge[1],s)<0.000001 : break if point_to_point_d2(edge[1],s)>0.000001 : edges[e] += [ [e,s,l] ] #draw_pointer(s+e,"red","line") else : edges[e] = [ [e,s,l] ] #draw_pointer(s+e,"green","line") if s in edges : for edge in edges[s] : if point_to_point_d2(edge[1],e)<0.000001 : break if point_to_point_d2(edge[1],e)>0.000001 : edges[s] += [ [s,e, l] ] #draw_pointer(s+e,"red","line") else : edges[s] = [ [s,e,l] ] #draw_pointer(s+e,"green","line") def angle_quadrant(sin,cos): # quadrants are (0,pi/2], (pi/2,pi], (pi,3*pi/2], (3*pi/2, 2*pi], i.e. 0 is in the 4-th quadrant if sin>0 and cos>=0 : return 1 if sin>=0 and cos<0 : return 2 if sin<0 and cos<=0 : return 3 if sin<=0 and cos>0 : return 4 def angle_is_less(sin,cos,sin1,cos1): # 0 = 2*pi is the largest angle if [sin1, cos1] == [0,1] : return True if [sin, cos] == [0,1] : return False if angle_quadrant(sin,cos)>angle_quadrant(sin1,cos1) : return False if angle_quadrant(sin,cos)=0 and cos>0 : return sin0 and cos<=0 : return sin>sin1 if sin<=0 and cos<0 : return sin>sin1 if sin<0 and cos>=0 : return sin len_edges : raise ValueError, "Hull error" loops1 += 1 next = get_closes_edge_by_angle(edges[last[1]],last) #draw_pointer(next[0]+next[1],"Green","line", comment=i, width= 1) #print_(next[0],"-",next[1]) last = next poly += [ list(last[0]) ] self.polygon += [ poly ] # Remove all edges that are intersects new poly (any vertex inside new poly) poly_ = Polygon([poly]) for p in edges.keys()[:] : if poly_.point_inside(list(p)) : del edges[p] self.draw(color="Green", width=1) class Arangement_Genetic: # gene = [fittness, order, rotation, xposition] # spieces = [gene]*shapes count # population = [spieces] def __init__(self, polygons, material_width): self.population = [] self.genes_count = len(polygons) self.polygons = polygons self.width = material_width self.mutation_factor = 0.1 self.order_mutate_factor = 1. self.move_mutate_factor = 1. def add_random_species(self,count): for i in range(count): specimen = [] order = range(self.genes_count) random.shuffle(order) for j in order: specimen += [ [j, random.random(), random.random()] ] self.population += [ [None,specimen] ] def species_distance2(self,sp1,sp2) : # retun distance, each component is normalized s = 0 for j in range(self.genes_count) : s += ((sp1[j][0]-sp2[j][0])/self.genes_count)**2 + (( sp1[j][1]-sp2[j][1]))**2 + ((sp1[j][2]-sp2[j][2]))**2 return s def similarity(self,sp1,top) : # Define similarity as a simple distance between two points in len(gene)*len(spiece) -th dimentions # for sp2 in top_spieces sum(|sp1-sp2|)/top_count sim = 0 for sp2 in top : sim += math.sqrt(species_distance2(sp1,sp2[1])) return sim/len(top) def leave_top_species(self,count): self.population.sort() res = [ copy.deepcopy(self.population[0]) ] del self.population[0] for i in range(count-1) : t = [] for j in range(20) : i1 = random.randint(0,len(self.population)-1) t += [ [self.population[i1][0],i1] ] t.sort() res += [ copy.deepcopy(self.population[t[0][1]]) ] del self.population[t[0][1]] self.population = res #del self.population[0] #for c in range(count-1) : # rank = [] # for i in range(len(self.population)) : # sim = self.similarity(self.population[i][1],res) # rank += [ [self.population[i][0] / sim if sim>0 else 1e100,i] ] # rank.sort() # res += [ copy.deepcopy(self.population[rank[0][1]]) ] # print_(rank[0],self.population[rank[0][1]][0]) # print_(res[-1]) # del self.population[rank[0][1]] self.population = res def populate_species(self,count, parent_count): self.population.sort() self.inc = 0 for c in range(count): parent1 = random.randint(0,parent_count-1) parent2 = random.randint(0,parent_count-1) if parent1==parent2 : parent2 = (parent2+1) % parent_count parent1, parent2 = self.population[parent1][1], self.population[parent2][1] i1,i2 = 0, 0 genes_order = [] specimen = [ [0,0.,0.] for i in range(self.genes_count) ] self.incest_mutation_multiplyer = 1. self.incest_mutation_count_multiplyer = 1. if self.species_distance2(parent1, parent2) <= .01/self.genes_count : # OMG it's a incest :O!!! # Damn you bastards! self.inc +=1 self.incest_mutation_multiplyer = 2. self.incest_mutation_count_multiplyer = 2. else : if random.random()<.01 : print_(self.species_distance2(parent1, parent2)) start_gene = random.randint(0,self.genes_count) end_gene = (max(1,random.randint(0,self.genes_count),int(self.genes_count/4))+start_gene) % self.genes_count if end_gene (int value; M106 S0 turns off diode) # Repetier on FAN PIN: M106 S<1 .. 255> (int value; M106 S0 turns off diode) # Repetier on TOOL PIN: M3 S<1 .. 255> (int value; M5 S0 turns off diode) you need to enable laser mode via M452 # GRBL: M106 S<0 .. 12000> (int value; M107 turns off diode) # # notes to laser mode: # laser diode should only be turned on when movement is done. Should be ensured in GCode to avoid burning material # diode has to be turned off at travel moves # in Repetier firmware this can be accomplished using code M452 to activate laser mode # # Pen Angle has to be converted from floating angle value to fitting integer values # Marlin: M280 0 .. 180 (float value) # Repetier: M340 500 .. 2500 (int value) # Smoothie: M280 5 .. 10 (float value; 0 turns off the servo) targetpower = str(round(self.laserpower_uneffected_converted,4)) + ";(target power: " + str(round(self.options.laserpower,4)) + " percent)\n" if self.options.gcode_flavour_preset == "repetier_laser": gcode_tool_header = "M452;enable laser mode\nM3 S" + targetpower gcode_tool_footer = "M3 S0\n" elif self.options.gcode_flavour_preset == "repetier_fan": gcode_tool_header = "M106 S" + targetpower gcode_tool_footer = "" if self.options.machine_type == "plotter": if self.options.gcode_flavour_preset == "repetier_laser" or self.options.gcode_flavour_preset == "repetier_fan": gcode_tool_header = "M340 P" + str(self.options.pen_index) + " S" + str(round(self.pen_up_angle_uneffected_converted,4)) + ";(target: " + str(self.options.pen_up_angle) + " degrees) pen up\n" gcode_tool_footer = "" #inkex.errormsg("pen_down_angle_converted = " + str(self.pen_down_angle_converted) + \ #"\npen_up_angle_converted = " + str(self.pen_up_angle_converted) + \ #"\npen_down_angle_uneffected_converted = " + str(self.pen_down_angle_uneffected_converted) +\ #"\npen_up_angle_uneffected_converted = " + str(self.pen_up_angle_uneffected_converted)) #Custom User Header header_command_lines = self.options.header_command.split("\\n") gcode_custom_header = "" for header_command_line in header_command_lines: gcode_custom_header += header_command_line + "\n" #Custom User Repeat command repeatings_command_lines = self.options.repeatings_command.split("\\n") gcode_custom_repeat = "\n;BEGIN OF CUSTOM REPEAT COMMAND\n" for repeatings_command_line in repeatings_command_lines: gcode_custom_repeat += repeatings_command_line + "\n" gcode_custom_repeat += ";END OF CUSTOM REPEAT COMMAND\n" #Custom User Footer footer_command_lines = self.options.footer_command.split("\\n") gcode_custom_footer = "" for footer_command_line in footer_command_lines: gcode_custom_footer += footer_command_line + "\n" #Auto-Homing Start option_autohoming_start = "" if self.options.auto_homing_start: option_autohoming_start = "G28 XY;homing\n" #Auto-Homing End option_auto_homing_end = "" if self.options.auto_homing_end: option_auto_homing_end = "G28 XY;homing\n" #Disable tool at the end option_auto_disable_tool = "" if self.options.auto_disable_tool: if self.options.machine_type == "plotter": if self.options.gcode_flavour_preset == "repetier_laser" or self.options.gcode_flavour_preset == "repetier_fan": option_auto_disable_tool = "G4 P" + str(get_delay(self)) + ";dwell\n" +\ "M340 P" + str(self.options.pen_index) + " S0; pen disable\n" +\ "G4 P" + str(get_delay(self)) + ";dwell\n" elif self.options.machine_type == "laser": if self.options.gcode_flavour_preset == "repetier_fan": option_auto_disable_tool = "G4 P" + str(get_delay(self)) + ";dwell\n" +\ "M106 S0; laser disable\n" +\ "G4 P" + str(get_delay(self)) + ";dwell\n" #Create new file and write gcode into it f = open(self.dirname+self.options.file, "w") finalgcode = ";BEGIN OF GCODE" +\ "\n;MACHINE TYPE: " +\ self.options.machine_type +\ "\n;USING GCODE FLAVOUR: " +\ self.options.gcode_flavour_preset +\ "\n\nG90;absolute coordinates\n" +\ gcode_flavour_units +\ ";units in mm or in\n" +\ "T" + str(self.options.tool_index) + ";change to defined tool index\n" +\ gcode_tool_header +\ "\n;BEGIN OF CUSTOM HEADER\n" +\ gcode_custom_header +\ ";END OF CUSTOM HEADER\n\n" +\ option_autohoming_start +\ "\nG0 F" +\ self.options.travel_speed +\ ";init feedrate\n" +\ gcode +\ gcode_tool_footer +\ "\n;BEGIN OF CUSTOM FOOTER\n" +\ gcode_custom_footer +\ ";END OF CUSTOM FOOTER\n\n" + \ option_auto_disable_tool +\ option_auto_homing_end +\ ";END OF GCODE\n" gcode_pass = finalgcode if self.options.repeatings_mode == "full" : for y in range(1,self.options.repeatings + 1): finalgcode += "\n;LOOP #" + str(y) + "\n" + gcode_custom_repeat + "\n" + gcode_pass f.write(finalgcode) f.close() def __init__(self): self.dirname = '' inkex.Effect.__init__(self) self.OptionParser.add_option("", "--main_tabs", action="store", type="string", dest="main_tabs", default="", help="") self.OptionParser.add_option("-d", "--directory", action="store", type="string", dest="directory", default="~/Desktop", help="Output directory") self.OptionParser.add_option("", "--header-command", action="store", type="string", dest="header_command", default="", help="Header GCode") self.OptionParser.add_option("", "--footer-command", action="store", type="string", dest="footer_command", default="", help="Footer GCode") self.OptionParser.add_option("-f", "--filename", action="store", type="string", dest="file", default="output.gcode", help="File name") self.OptionParser.add_option("", "--add-numeric-suffix-to-filename", action="store", type="inkbool", dest="add_numeric_suffix_to_filename", default=False, help="Add numeric suffix to file name") self.OptionParser.add_option("", "--tooling-speed", action="store", type="int", dest="tooling_speed", default="2000", help="Plotter speed (mm/min)") self.OptionParser.add_option("", "--travel-speed", action="store", type="string", dest="travel_speed", default="3000", help="Travel speed (mm/min)") self.OptionParser.add_option("", "--pen-index", action="store", type="int", dest="pen_index", default="0", help="Servo Index") self.OptionParser.add_option("", "--tool-index", action="store", type="int", dest="tool_index", default="0", help="Tool Index") self.OptionParser.add_option("", "--pen-down-angle", action="store", type="float", dest="pen_down_angle", default="900", help="Pen Up Impulse (max. 2500)") self.OptionParser.add_option("", "--pen-up-angle", action="store", type="float", dest="pen_up_angle", default="600", help="Pen Down Impulse (min. 500)") self.OptionParser.add_option("", "--delay-time", action="store", type="int", dest="delay_time", default="500", help="Servo Speed (dwell time)") self.OptionParser.add_option("", "--repeatings", action="store", type="int", dest="repeatings", default="0", help="Quantity of repeatings") self.OptionParser.add_option("", "--repeatings-command", action="store", type="string", dest="repeatings_command", default="", help="Some special command before repeating") self.OptionParser.add_option("", "--repeatings-offset-x", action="store", type="float", dest="repeatings_offset_x", default="0.000", help="") self.OptionParser.add_option("", "--repeatings-offset-y", action="store", type="float", dest="repeatings_offset_y", default="0.000", help="") self.OptionParser.add_option("", "--repeatings-mode", action="store", type="string", dest="repeatings_mode", default='partial', help="Defines the loop mode") self.OptionParser.add_option("", "--repeatings-pen-increment", action="store", type="float", dest="repeatings_pen_increment", default='0', help="Defines the increment of pen movement") self.OptionParser.add_option("", "--suppress-all-messages", action="store", type="inkbool", dest="suppress_all_messages", default=True, help="Hide messages during g-code generation") self.OptionParser.add_option("", "--create-log", action="store", type="inkbool", dest="log_create_log", default=True, help="Create log files") self.OptionParser.add_option("", "--log-filename", action="store", type="string", dest="log_filename", default='', help="Create log files") self.OptionParser.add_option("", "--draw-calculation-paths", action="store", type="inkbool", dest="draw_calculation_paths", default=False, help="Draw additional graphics to debug engraving path") self.OptionParser.add_option("", "--coordinates-unit", action="store", type="string", dest="coordinates_unit", default="MM", help="Units") self.OptionParser.add_option("", "--biarc-max-split-depth", action="store", type="int", dest="biarc_max_split_depth", default="4", help="Defines maximum depth of splitting while approximating using biarcs.") self.OptionParser.add_option("", "--biarc-tolerance", action="store", type="float", dest="biarc_tolerance", default="1", help="Tolerance used when calculating biarc interpolation") self.OptionParser.add_option("", "--gcode-flavour-preset", action="store", type="string", dest="gcode_flavour_preset", default="repetier", help="Defines correct GCodes/MCodes") self.OptionParser.add_option("", "--machine-type", action="store", type="string", dest="machine_type", default="plotter", help="Defines the machine type") self.OptionParser.add_option("", "--show-output-path", action="store", type="inkbool", dest="show_output_path", default=True, help="Show popup with saved output") self.OptionParser.add_option("", "--laserpower", action="store", type="float", dest="laserpower", default="10.0", help="Laser power in percentage") self.OptionParser.add_option("", "--laserpower-increment", action="store", type="float", dest="laserpower_increment", default="0.0", help="Laser power increment/decrement") self.OptionParser.add_option("", "--scale-uniform", action="store", type="float", dest="scale_uniform", default="100.0", help="Scale") self.OptionParser.add_option("", "--scale-increment", action="store", type="float", dest="scale_increment", default="0.0", help="Scale increment") self.OptionParser.add_option("", "--auto-homing-start", action="store", type="inkbool", dest="auto_homing_start", default=True, help="Auto homing XY at start") self.OptionParser.add_option("", "--auto-homing-end", action="store", type="inkbool", dest="auto_homing_end", default=True, help="Auto homing XY at end") self.OptionParser.add_option("", "--auto-disable-tool", action="store", type="inkbool", dest="auto_disable_tool", default=True, help="Auto disable servo motor") self.OptionParser.add_option("", "--randomize-speed", action="store", type="inkbool", dest="randomize_speed", default=False, help="Randomize speed") self.OptionParser.add_option("", "--randomize-speed-lowerval", action="store", type="float", dest="randomize_speed_lowerval", default="0.0", help="Randomize speed, lower value") self.OptionParser.add_option("", "--randomize-speed-upperval", action="store", type="float", dest="randomize_speed_upperval", default="0.0", help="Randomize speed, upper value") self.OptionParser.add_option("", "--randomize-penangle", action="store", type="inkbool", dest="randomize_penangle", default=False, help="Randomize angle") self.OptionParser.add_option("", "--randomize-penangle-lowerval", action="store", type="float", dest="randomize_penangle_lowerval", default="0.0", help="Randomize angle, lower value") self.OptionParser.add_option("", "--randomize-penangle-upperval", action="store", type="float", dest="randomize_penangle_upperval", default="0.0", help="Randomize angle, upper value") self.OptionParser.add_option("", "--randomize-laserpower", action="store", type="inkbool", dest="randomize_laserpower", default=False, help="Randomize laser power") self.OptionParser.add_option("", "--randomize-laserpower-lowerval", action="store", type="float", dest="randomize_laserpower_lowerval", default="0.0", help="Randomize laser power, lower value") self.OptionParser.add_option("", "--randomize-laserpower-upperval", action="store", type="float", dest="randomize_laserpower_upperval", default="0.0", help="Randomize laser power, upper value") self.OptionParser.add_option("", "--randomize-delay", action="store", type="inkbool", dest="randomize_delay", default=False, help="Randomize delay") self.OptionParser.add_option("", "--randomize-delay-lowerval", action="store", type="float", dest="randomize_delay_lowerval", default="0.0", help="Randomize delay, lower value") self.OptionParser.add_option("", "--randomize-delay-upperval", action="store", type="float", dest="randomize_delay_upperval", default="0.0", help="Randomize delay, upper value") #GLOBALS self.pen_down_angle_uneffected_converted = 0 #converted self.pen_up_angle_uneffected_converted = 0 #converted self.repeatings_pen_increment_converted = 0 #converted self.laserpower_uneffected_converted = 0 #converted self.laserpower_increment_converted = 0 #converted self.pen_down_angle_converted = 0 #converted self.pen_up_angle_converted = 0 #converted self.laserpower_converted = 0 #converted self.offset_x = 0.0 self.offset_y = 0.0 self.pen_pos_min = 0 self.pen_pos_max = 0 self.laserpower_min = 0 self.laserpower_max = 0 def parse_curve(self, p, layer, w = None, f = None): c = [] if len(p)==0 : return [] p = self.transform_csp(p, layer) ### Sort to reduce Rapid distance k = range(1,len(p)) keys = [0] while len(k)>0: end = p[keys[-1]][-1][1] dist = None for i in range(len(k)): start = p[k[i]][0][1] dist = max( ( -( ( end[0]-start[0])**2+(end[1]-start[1])**2 ) ,i) , dist ) keys += [k[dist[1]]] del k[dist[1]] for k in keys: subpath = p[k] c += [ [ [subpath[0][1][0],subpath[0][1][1]] , 'move', 0, 0] ] for i in range(1,len(subpath)): sp1 = [ [subpath[i-1][j][0], subpath[i-1][j][1]] for j in range(3)] sp2 = [ [subpath[i ][j][0], subpath[i ][j][1]] for j in range(3)] c += biarc(sp1,sp2,0,0) if w==None else biarc(sp1,sp2,-f(w[k][i-1]),-f(w[k][i])) # l1 = biarc(sp1,sp2,0,0) if w==None else biarc(sp1,sp2,-f(w[k][i-1]),-f(w[k][i])) # print_((-f(w[k][i-1]),-f(w[k][i]), [i1[5] for i1 in l1]) ) c += [ [ [subpath[-1][1][0],subpath[-1][1][1]] ,'end',0,0] ] print_("Curve: " + str(c)) return c def draw_curve(self, curve, layer, group=None, style=styles["biarc_style"]): self.get_defs() # Add marker to defs if it does not exist if "DrawCurveMarker" not in self.defs : defs = inkex.etree.SubElement( self.document.getroot(), inkex.addNS("defs","svg")) marker = inkex.etree.SubElement( defs, inkex.addNS("marker","svg"), {"id":"DrawCurveMarker","orient":"auto","refX":"-8","refY":"-2.41063","style":"overflow:visible"}) inkex.etree.SubElement( marker, inkex.addNS("path","svg"), { "d":"m -6.55552,-2.41063 0,0 L -13.11104,0 c 1.0473,-1.42323 1.04126,-3.37047 0,-4.82126", "style": "fill:#000044; fill-rule:evenodd;stroke-width:0.62500000;stroke-linejoin:round;" } ) if "DrawCurveMarker_r" not in self.defs : defs = inkex.etree.SubElement( self.document.getroot(), inkex.addNS("defs","svg")) marker = inkex.etree.SubElement( defs, inkex.addNS("marker","svg"), {"id":"DrawCurveMarker_r","orient":"auto","refX":"8","refY":"-2.41063","style":"overflow:visible"}) inkex.etree.SubElement( marker, inkex.addNS("path","svg"), { "d":"m 6.55552,-2.41063 0,0 L 13.11104,0 c -1.0473,-1.42323 -1.04126,-3.37047 0,-4.82126", "style": "fill:#000044; fill-rule:evenodd;stroke-width:0.62500000;stroke-linejoin:round;" } ) for i in [0,1]: style['biarc%s_r'%i] = simplestyle.parseStyle(style['biarc%s'%i]) style['biarc%s_r'%i]["marker-start"] = "url(#DrawCurveMarker_r)" del(style['biarc%s_r'%i]["marker-end"]) style['biarc%s_r'%i] = simplestyle.formatStyle(style['biarc%s_r'%i]) if group==None: group = inkex.etree.SubElement( self.layers[min(1,len(self.layers)-1)], inkex.addNS('g','svg'), {"gcodetools": "Preview group"} ) s, arcn = '', 0 a,b,c = [0.,0.], [1.,0.], [0.,1.] k = (b[0]-a[0])*(c[1]-a[1])-(c[0]-a[0])*(b[1]-a[1]) a,b,c = self.transform(a, layer, True), self.transform(b, layer, True), self.transform(c, layer, True) if ((b[0]-a[0])*(c[1]-a[1])-(c[0]-a[0])*(b[1]-a[1]))*k > 0 : reverse_angle = 1 else : reverse_angle = -1 for sk in curve: si = sk[:] si[0], si[2] = self.transform(si[0], layer, True), (self.transform(si[2], layer, True) if type(si[2])==type([]) and len(si[2])==2 else si[2]) if s!='': if s[1] == 'line': inkex.etree.SubElement( group, inkex.addNS('path','svg'), { 'style': style['line'], 'd':'M %s,%s L %s,%s' % (s[0][0], s[0][1], si[0][0], si[0][1]), "gcodetools": "Preview", } ) elif s[1] == 'arc': arcn += 1 sp = s[0] c = s[2] s[3] = s[3]*reverse_angle a = ( (P(si[0])-P(c)).angle() - (P(s[0])-P(c)).angle() )%math.pi2 #s[3] if s[3]*a<0: if a>0: a = a-math.pi2 else: a = math.pi2+a r = math.sqrt( (sp[0]-c[0])**2 + (sp[1]-c[1])**2 ) a_st = ( math.atan2(sp[0]-c[0],- (sp[1]-c[1])) - math.pi/2 ) % (math.pi*2) st = style['biarc%s' % (arcn%2)][:] if a>0: a_end = a_st+a st = style['biarc%s'%(arcn%2)] else: a_end = a_st*1 a_st = a_st+a st = style['biarc%s_r'%(arcn%2)] inkex.etree.SubElement( group, inkex.addNS('path','svg'), { 'style': st, inkex.addNS('cx','sodipodi'): str(c[0]), inkex.addNS('cy','sodipodi'): str(c[1]), inkex.addNS('rx','sodipodi'): str(r), inkex.addNS('ry','sodipodi'): str(r), inkex.addNS('start','sodipodi'): str(a_st), inkex.addNS('end','sodipodi'): str(a_end), inkex.addNS('open','sodipodi'): 'true', inkex.addNS('type','sodipodi'): 'arc', "gcodetools": "Preview", }) s = si def check_dir(self): self.dirname = self.options.directory if self.dirname == '' or self.dirname == None: self.dirname = './' self.dirname = os.path.expanduser(self.dirname) self.dirname = os.path.expandvars(self.dirname) self.dirname = os.path.abspath(self.dirname) if self.dirname[-1] != os.path.sep: self.dirname += os.path.sep if not os.path.isdir(self.dirname): os.makedirs(self.dirname) if self.options.add_numeric_suffix_to_filename : dir_list = os.listdir(self.dirname) if "." in self.options.file : r = re.match(r"^(.*)(\..*)$",self.options.file) ext = r.group(2) name = r.group(1) else: ext = "" name = self.options.file max_n = 0 for s in dir_list : r = re.match(r"^%s_0*(\d+)%s$"%(re.escape(name),re.escape(ext) ), s) if r : max_n = max(max_n,int(r.group(1))) filename = name + "_" + ( "0"*(4-len(str(max_n+1))) + str(max_n+1) ) + ext self.options.file = filename print_("Testing writing rights on '%s'"%(self.dirname+self.options.file)) try: f = open(self.dirname+self.options.file, "w") f.close() except: self.error(_("Can not write to specified file!\n%s"%(self.dirname+self.options.file)),"error") return False return True ################################################################################ ### ### Generate Gcode ### Generates Gcode on given curve. ### ### Curve definition [start point, type = {'arc','line','move','end'}, arc center, arc angle, end point, [zstart, zend]] ### ################################################################################ def generate_gcode(self, curve, layer, depth): def get_cooordinate_line(index, c): c = [c[i] if i 1: #blocks randomizing for the really first positioning line in gcode which means travelling to the start geometry with a pen in down position #Randomize tooling speed if self.options.randomize_speed: minspeed = self.options.tooling_speed - self.options.randomize_speed_lowerval maxspeed = self.options.tooling_speed + self.options.randomize_speed_upperval if minspeed <= 0: minspeed = 1.0 #disable feedrate of zero coordinate_line += " F" + str(round(random.uniform(minspeed, maxspeed),4)) #Randomize pen angle if self.options.machine_type == "plotter": if self.options.randomize_penangle: minangle = self.pen_down_angle_converted - math.ceil((self.pen_pos_max - self.pen_pos_min) / (180.0 - 0.0) * self.options.randomize_penangle_lowerval) + self.pen_pos_min maxangle = self.pen_down_angle_converted + math.ceil((self.pen_pos_max - self.pen_pos_min) / (180.0 - 0.0) * self.options.randomize_penangle_upperval) + self.pen_pos_min newangle = round(random.uniform(minangle, maxangle),4) if newangle > self.pen_pos_max: newangle = self.pen_pos_max if newangle < self.pen_pos_min: newangle = self.pen_pos_min coordinate_line += "\nM340 P" + str(self.options.pen_index) + " S" + str(newangle) #Randomize laser power elif self.options.machine_type == "laser": if self.options.randomize_laserpower: minpower = self.laserpower_converted - math.ceil((self.laserpower_max - self.laserpower_min) / (100.0 - 0.0) * self.options.randomize_laserpower_lowerval) + self.laserpower_min maxpower = self.laserpower_converted + math.ceil((self.laserpower_max - self.laserpower_min) / (100.0 - 0.0) * self.options.randomize_laserpower_upperval) + self.laserpower_min newpower = round(random.uniform(minpower, maxpower),4) if newpower > self.laserpower_max: newpower = self.laserpower_max if newpower < self.laserpower_min: newpower = self.laserpower_min if self.options.gcode_flavour_preset == "repetier_fan": coordinate_line += "\nM106 S" + str(newpower) elif self.options.gcode_flavour_preset == "repetier_laser": coordinate_line += "\nM3 S" + str(newpower) return coordinate_line def calculate_angle(a, current_a): return min( [abs(a-current_a%math.pi2+math.pi2), a+current_a-current_a%math.pi2+math.pi2], [abs(a-current_a%math.pi2-math.pi2), a+current_a-current_a%math.pi2-math.pi2], [abs(a-current_a%math.pi2), a+current_a-current_a%math.pi2])[1] if len(curve)==0 : return "" try : self.last_used_tool == None except : self.last_used_tool = None print_("working on curve") print_("Curve: " + str(curve)) g = "" lg, f = 'G00', "F" + str(self.options.tooling_speed) + ";feedrate" current_a = 0 if self.options.machine_type == "plotter": gcode_after_path = \ "G4 P" + str(get_delay(self)) + ";dwell\n" +\ "M340 P" + str(self.options.pen_index) + " S" + str(round(self.pen_up_angle_converted,4)) + ";(target: " + str(self.options.pen_up_angle) + " degrees) pen up\n"+\ "G0 F" + str(self.options.travel_speed) + ";feedrate\n"+\ "G4 P" + str(get_delay(self)) + ";dwell\n" elif self.options.machine_type == "laser": gcode_after_path = \ "G0 F" + str(self.options.travel_speed) + ";feedrate \n" for index in range(1,len(curve)): # Creating Gcode for curve between s=curve[index-1] and si=curve[index] start at s[0] end at s[4]=si[0] s, si = curve[index-1], curve[index] feed = f if lg not in ['G01','G02','G03'] else '' if s[1] == 'move': if self.options.machine_type == "plotter": tempcmd = "G4 P" + str(get_delay(self)) + ";dwell\n" +\ "M340 P" + str(self.options.pen_index) + " S" + str(round(self.pen_down_angle_converted,4)) + ";(target: " + str(self.options.pen_down_angle) + " degrees) pen down + new path begins\n" elif self.options.machine_type == "laser": tempcmd = "M3 S" + str(self.laserpower_converted) + ";(target power: " + str(round(self.options.laserpower,4)) + " percent)\n" g += "G0" + get_cooordinate_line(index, si[0]) + "\n" +\ tempcmd lg = 'G00' elif s[1] == 'end': g += gcode_after_path lg = 'G00' elif s[1] == 'line': if lg=="G00": g += "G0 " + feed + "\n" g += "G1" + get_cooordinate_line(index, si[0]) + "\n" lg = 'G01' elif s[1] == 'arc': r = [(s[2][0]-s[0][0]), (s[2][1]-s[0][1])] if lg=="G00": g += "G0 " + feed + "\n" if (r[0]**2 + r[1]**2)>.1: r1, r2 = (P(s[0])-P(s[2])), (P(si[0])-P(s[2])) if abs(r1.mag()-r2.mag()) < 0.001 : g += ("G2" if s[3]<0 else "G3") + get_cooordinate_line(index, si[0]+[ None, (s[2][0]-s[0][0]),(s[2][1]-s[0][1]) ]) + "\n" else: r = (r1.mag()+r2.mag())/2 g += ("G2" if s[3]<0 else "G3") + get_cooordinate_line(index, si[0]) + " R%f" % (r) + "\n" lg = 'G02' else: g += "G1" +get_cooordinate_line(index, si[0]) + " " + feed + "\n" lg = 'G01' if si[1] == 'end': g += gcode_after_path return g def get_transforms(self,g): root = self.document.getroot() trans = [] while (g!=root): if 'transform' in g.keys(): t = g.get('transform') t = simpletransform.parseTransform(t) trans = simpletransform.composeTransform(t,trans) if trans != [] else t print_(trans) g=g.getparent() return trans def apply_transforms(self,g,csp): trans = self.get_transforms(g) if trans != []: simpletransform.applyTransformToPath(trans, csp) return csp def transform(self, source_point, layer, reverse=False): if layer == None : layer = self.current_layer if self.current_layer is not None else self.document.getroot() if layer not in self.transform_matrix: for i in range(self.layers.index(layer),-1,-1): if self.layers[i] in self.orientation_points : break print_(str(self.layers)) print_(str("I: " + str(i))) print_("Transform: " + str(self.layers[i])) if self.layers[i] not in self.orientation_points : self.error(_("Orientation points for '%s' layer have not been found! Please add orientation points using Orientation tab!") % layer.get(inkex.addNS('label','inkscape')),"no_orientation_points") elif self.layers[i] in self.transform_matrix : self.transform_matrix[layer] = self.transform_matrix[self.layers[i]] else : orientation_layer = self.layers[i] if len(self.orientation_points[orientation_layer])>1 : self.error(_("There are more than one orientation point groups in '%s' layer") % orientation_layer.get(inkex.addNS('label','inkscape')),"more_than_one_orientation_point_groups") points = self.orientation_points[orientation_layer][0] if len(points)==2: points += [ [ [(points[1][0][1]-points[0][0][1])+points[0][0][0], -(points[1][0][0]-points[0][0][0])+points[0][0][1]], [-(points[1][1][1]-points[0][1][1])+points[0][1][0], points[1][1][0]-points[0][1][0]+points[0][1][1]] ] ] if len(points)==3: print_("Layer '%s' Orientation points: " % orientation_layer.get(inkex.addNS('label','inkscape'))) for point in points: print_(point) # Zcoordinates definition taken from Orientatnion point 1 and 2 self.Zcoordinates[layer] = [max(points[0][1][2],points[1][1][2]), min(points[0][1][2],points[1][1][2])] matrix = numpy.array([ [points[0][0][0], points[0][0][1], 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, points[0][0][0], points[0][0][1], 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, points[0][0][0], points[0][0][1], 1], [points[1][0][0], points[1][0][1], 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, points[1][0][0], points[1][0][1], 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, points[1][0][0], points[1][0][1], 1], [points[2][0][0], points[2][0][1], 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, points[2][0][0], points[2][0][1], 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, points[2][0][0], points[2][0][1], 1] ]) if numpy.linalg.det(matrix)!=0 : m = numpy.linalg.solve(matrix, numpy.array( [[points[0][1][0]], [points[0][1][1]], [1], [points[1][1][0]], [points[1][1][1]], [1], [points[2][1][0]], [points[2][1][1]], [1]] ) ).tolist() self.transform_matrix[layer] = [[m[j*3+i][0] for i in range(3)] for j in range(3)] else : self.error(_("Orientation points are wrong! (if there are two orientation points they sould not be the same. If there are three orientation points they should not be in a straight line.)"),"wrong_orientation_points") else : self.error(_("Orientation points are wrong! (if there are two orientation points they sould not be the same. If there are three orientation points they should not be in a straight line.)"),"wrong_orientation_points") self.transform_matrix_reverse[layer] = numpy.linalg.inv(self.transform_matrix[layer]).tolist() print_("\n Layer '%s' transformation matrixes:" % layer.get(inkex.addNS('label','inkscape')) ) print_(self.transform_matrix) print_(self.transform_matrix_reverse) ###self.Zauto_scale[layer] = math.sqrt( (self.transform_matrix[layer][0][0]**2 + self.transform_matrix[layer][1][1]**2)/2 ) ### Zautoscale is absolete self.Zauto_scale[layer] = 1 print_("Z automatic scale = %s (computed according orientation points)" % self.Zauto_scale[layer]) x,y = source_point[0], source_point[1] if not reverse : t = self.transform_matrix[layer] else : t = self.transform_matrix_reverse[layer] return [t[0][0]*x+t[0][1]*y+t[0][2], t[1][0]*x+t[1][1]*y+t[1][2]] def transform_csp(self, csp_, layer, reverse = False): csp = [ [ [csp_[i][j][0][:],csp_[i][j][1][:],csp_[i][j][2][:]] for j in range(len(csp_[i])) ] for i in range(len(csp_)) ] for i in xrange(len(csp)): for j in xrange(len(csp[i])): for k in xrange(len(csp[i][j])): csp[i][j][k] = self.transform(csp[i][j][k],layer, reverse) return csp ################################################################################ ### Errors handling function, notes are just printed into Logfile, ### warnings are printed into log file and warning message is displayed but ### extension continues working, errors causes log and execution is halted ### Notes, warnings adn errors could be assigned to space or comma or dot ### sepparated strings (case is ignoreg). ################################################################################ def error(self, s, type_= "Warning"): notes = "Note " warnings = """ Warning tools_warning bad_orientation_points_in_some_layers more_than_one_orientation_point_groups more_than_one_tool orientation_have_not_been_defined tool_have_not_been_defined selection_does_not_contain_paths selection_does_not_contain_paths_will_take_all selection_is_empty_will_comupe_drawing selection_contains_objects_that_are_not_paths """ errors = """ Error wrong_orientation_points area_tools_diameter_error no_tool_error active_layer_already_has_tool active_layer_already_has_orientation_points """ if type_.lower() in re.split("[\s\n,\.]+", errors.lower()) : print_(s) inkex.errormsg(s+"\n") sys.exit() elif type_.lower() in re.split("[\s\n,\.]+", warnings.lower()) : print_(s) if not self.options.suppress_all_messages : inkex.errormsg(s+"\n") elif type_.lower() in re.split("[\s\n,\.]+", notes.lower()) : print_(s) else : print_(s) inkex.errormsg(s) sys.exit() ################################################################################ ### Get defs from svg ################################################################################ def get_defs(self) : self.defs = {} def recursive(g) : for i in g: if i.tag == inkex.addNS("defs","svg") : for j in i: self.defs[j.get("id")] = i if i.tag ==inkex.addNS("g",'svg') : recursive(i) recursive(self.document.getroot()) ################################################################################ ### ### Get Gcodetools info from the svg ### ################################################################################ def get_info(self): self.selected_paths = {} self.paths = {} self.orientation_points = {} self.layers = [self.document.getroot()] self.Zcoordinates = {} self.transform_matrix = {} self.transform_matrix_reverse = {} self.Zauto_scale = {} def recursive_search(g, layer, selected=False): items = g.getchildren() items.reverse() for i in items: if selected: self.selected[i.get("id")] = i if i.tag == inkex.addNS("g",'svg') and i.get(inkex.addNS('groupmode','inkscape')) == 'layer': self.layers += [i] recursive_search(i,i) elif i.get('gcodetools') == "Gcodetools orientation group" : points = self.get_orientation_points(i) if points != None : self.orientation_points[layer] = self.orientation_points[layer]+[points[:]] if layer in self.orientation_points else [points[:]] print_("Found orientation points in '%s' layer: %s" % (layer.get(inkex.addNS('label','inkscape')), points)) else : self.error(_("Warning! Found bad orientation points in '%s' layer. Resulting Gcode could be corrupt!") % layer.get(inkex.addNS('label','inkscape')), "bad_orientation_points_in_some_layers") elif i.tag == inkex.addNS('path','svg'): if "gcodetools" not in i.keys() : self.paths[layer] = self.paths[layer] + [i] if layer in self.paths else [i] if i.get("id") in self.selected : self.selected_paths[layer] = self.selected_paths[layer] + [i] if layer in self.selected_paths else [i] elif i.tag == inkex.addNS("g",'svg'): recursive_search(i,layer, (i.get("id") in self.selected) ) elif i.get("id") in self.selected : self.error(_("This extension works with Paths and Dynamic Offsets and groups of them only! All other objects will be ignored!\nSolution 1: press Path->Object to path or Shift+Ctrl+C.\nSolution 2: Path->Dynamic offset or Ctrl+J.\nSolution 3: export all contours to PostScript level 2 (File->Save As->.ps) and File->Import this file."),"selection_contains_objects_that_are_not_paths") recursive_search(self.document.getroot(),self.document.getroot()) def get_orientation_points(self,g): items = g.getchildren() items.reverse() p2, p3 = [], [] p = None for i in items: if i.tag == inkex.addNS("g",'svg') and i.get("gcodetools") == "Gcodetools orientation point (2 points)": p2 += [i] if i.tag == inkex.addNS("g",'svg') and i.get("gcodetools") == "Gcodetools orientation point (3 points)": p3 += [i] if len(p2)==2 : p=p2 elif len(p3)==3 : p=p3 if p==None : return None points = [] for i in p : point = [[],[]] for node in i : if node.get('gcodetools') == "Gcodetools orientation point arrow": point[0] = self.apply_transforms(node,cubicsuperpath.parsePath(node.get("d")))[0][0][1] if node.get('gcodetools') == "Gcodetools orientation point text": r = re.match(r'(?i)\s*\(\s*(-?\s*\d*(?:,|\.)*\d*)\s*;\s*(-?\s*\d*(?:,|\.)*\d*)\s*;\s*(-?\s*\d*(?:,|\.)*\d*)\s*\)\s*',node.text) point[1] = [float(r.group(1)),float(r.group(2)),float(r.group(3))] if point[0]!=[] and point[1]!=[]: points += [point] if len(points)==len(p2)==2 or len(points)==len(p3)==3 : return points else : return None ################################################################################ ### ### dxfpoints ### ################################################################################ def dxfpoints(self): if self.selected_paths == {}: self.error(_("Noting is selected. Please select something to convert to drill point (dxfpoint) or clear point sign."),"warning") for layer in self.layers : if layer in self.selected_paths : for path in self.selected_paths[layer]: if self.options.dxfpoints_action == 'replace': path.set("dxfpoint","1") r = re.match("^\s*.\s*(\S+)",path.get("d")) if r!=None: print_(("got path=",r.group(1))) path.set("d","m %s 2.9375,-6.343750000001 0.8125,1.90625 6.843748640396,-6.84374864039 0,0 0.6875,0.6875 -6.84375,6.84375 1.90625,0.812500000001 z" % r.group(1)) path.set("style",styles["dxf_points"]) if self.options.dxfpoints_action == 'save': path.set("dxfpoint","1") if self.options.dxfpoints_action == 'clear' and path.get("dxfpoint") == "1": path.set("dxfpoint","0") ################################################################################ ### ### Machine ### ################################################################################ def machine(self) : # Define laser command and laser power. Power has to be converted from percentage to fitting integer values # Marlin: M106 S<1 .. 255> (int value; M106 S0 turns off diode) # Repetier on FAN PIN: M106 S<1 .. 255> (int value; M106 S0 turns off diode) # Repetier on TOOL PIN: M3 S<1 .. 255> (int value; M5 S0 turns off diode) you need to enable laser mode via M452 # GRBL: M106 S<0 .. 12000> (int value; M107 turns off diode) # # notes to laser mode: # laser diode should only be turned on when movement is done. Should be ensured in GCode to avoid burning material # diode has to be turned off at travel moves # in Repetier firmware this can be accomplished using code M452 to activate laser mode # Pen Angle has to be converted from floating angle value to fitting integer values # Marlin: M280 0 .. 180 (float value) # Repetier: M340 500 .. 2500 (int value) # Smoothie: M280 5 .. 10 (float value; 0 turns off the servo) if self.options.gcode_flavour_preset == "repetier_laser" or self.options.gcode_flavour_preset == "repetier_fan": self.pen_pos_min = 500 self.pen_pos_max = 2500 self.laserpower_min = 0 self.laserpower_max = 255 self.pen_down_angle_uneffected_converted = math.ceil((self.pen_pos_max - self.pen_pos_min) / (180.0 - 0.0) * self.options.pen_down_angle) + self.pen_pos_min self.pen_down_angle_converted = self.pen_down_angle_uneffected_converted #this value gets modified by pen increment later self.pen_up_angle_uneffected_converted = math.ceil((self.pen_pos_max - self.pen_pos_min) / (180.0 - 0.0) * self.options.pen_up_angle) + self.pen_pos_min self.pen_up_angle_converted = self.pen_up_angle_uneffected_converted #this value gets modified by pen increment later self.repeatings_pen_increment_converted = math.ceil((self.pen_pos_max - self.pen_pos_min) / (180.0 - 0.0) * self.options.repeatings_pen_increment) self.laserpower_uneffected_converted = math.ceil((self.laserpower_max - self.laserpower_min) / (100.0 - 0.0) * self.options.laserpower) + self.laserpower_min self.laserpower_converted = self.laserpower_uneffected_converted #this value gets modified by laser power increment later self.laserpower_increment_converted = math.ceil((self.laserpower_max - self.laserpower_min) / (100.0 - 0.0) * self.options.laserpower_increment) def get_boundaries(points): minx,miny,maxx,maxy=None,None,None,None out=[[],[],[],[]] for p in points: if minx==p[0]: out[0]+=[p] if minx==None or p[0]maxx: maxx=p[0] out[2]=[p] if maxy==p[1]: out[3]+=[p] if maxy==None or p[1]>maxy: maxy=p[1] out[3]=[p] return out def remove_duplicates(points): i=0 out=[] for p in points: for j in xrange(i,len(points)): if p==points[j]: points[j]=[None,None] if p!=[None,None]: out+=[p] i+=1 return(out) def get_way_len(points): l=0 for i in xrange(1,len(points)): l+=math.sqrt((points[i][0]-points[i-1][0])**2 + (points[i][1]-points[i-1][1])**2) return l def sort_dxfpoints(points): points=remove_duplicates(points) ways=[ # l=0, d=1, r=2, u=3 [3,0], # ul [3,2], # ur [1,0], # dl [1,2], # dr [0,3], # lu [0,1], # ld [2,3], # ru [2,1], # rd ] minimal_way=[] minimal_len=None minimal_way_type=None for w in ways: tpoints=points[:] cw=[] for j in xrange(0,len(points)): p=get_boundaries(get_boundaries(tpoints)[w[0]])[w[1]] tpoints.remove(p[0]) cw+=p curlen = get_way_len(cw) if minimal_len==None or curlen < minimal_len: minimal_len=curlen minimal_way=cw minimal_way_type=w return minimal_way if self.selected_paths == {} : paths=self.paths self.error(_("No paths are selected! Trying to work on all available paths."),"warning") else : paths = self.selected_paths self.check_dir() gcode = "" biarc_group = inkex.etree.SubElement( self.selected_paths.keys()[0] if len(self.selected_paths.keys())>0 else self.layers[0], inkex.addNS('g','svg') ) print_(("self.layers=",self.layers)) print_(("paths=",paths)) for layer in self.layers : if layer in paths : print_(("layer",layer)) p = [] dxfpoints = [] for path in paths[layer] : print_(str(layer)) if "d" not in path.keys() : self.error(_("Warning: One or more paths dont have 'd' parameter, try to Ungroup (Ctrl+Shift+G) and Object to Path (Ctrl+Shift+C)!"),"selection_contains_objects_that_are_not_paths") continue csp = cubicsuperpath.parsePath(path.get("d")) csp = self.apply_transforms(path, csp) if path.get("dxfpoint") == "1": tmp_curve=self.transform_csp(csp, layer) x=tmp_curve[0][0][0][0] y=tmp_curve[0][0][0][1] print_("got dxfpoint (scaled) at (%f,%f)" % (x,y)) dxfpoints += [[x,y]] else: p += csp dxfpoints=sort_dxfpoints(dxfpoints) curve = self.parse_curve(p, layer) if self.options.draw_calculation_paths : self.draw_curve(curve, layer, biarc_group) #Generate Code (first) gcode += self.generate_gcode(curve, layer, 0) #Generate more loop code and add it if users selected 'partial' if self.options.repeatings_mode == "partial" : for x in range(1,self.options.repeatings + 1): #Pen Increment Modifications self.pen_up_angle_converted += self.repeatings_pen_increment_converted self.pen_down_angle_converted += self.repeatings_pen_increment_converted self.options.pen_up_angle += self.options.repeatings_pen_increment self.options.pen_down_angle += self.options.repeatings_pen_increment if self.pen_up_angle_converted > self.pen_pos_max: self.pen_up_angle_converted = self.pen_pos_max if self.pen_up_angle_converted < self.pen_pos_min: self.pen_up_angle_converted = self.pen_pos_min if self.pen_down_angle_converted > self.pen_pos_max: self.pen_down_angle_converted = self.pen_pos_max if self.pen_down_angle_converted < self.pen_pos_min: self.pen_down_angle_converted = self.pen_pos_min #Laser Power Increment Modifications self.laserpower_converted += self.laserpower_increment_converted self.options.laserpower += self.options.laserpower_increment if self.laserpower_converted > self.laserpower_max: self.laserpower_converted = self.laserpower_max if self.laserpower_converted < self.laserpower_min: self.laserpower_converted = self.laserpower_min #Offset Increment Modifications self.offset_x += self.options.repeatings_offset_x self.offset_y += self.options.repeatings_offset_y #Scale Modifications self.options.scale_uniform += self.options.scale_increment gcode += "\n;LOOP #" + str(x) + "\n" + self.generate_gcode(curve, layer, 0) self.export_gcode(gcode) if self.options.show_output_path: inkex.errormsg(_("Saved at location:") + "\n" + self.dirname + self.options.file) ################################################################################ ### ### Orientation ### ################################################################################ def orientation(self, layer=None) : print_("entering orientations") if layer == None : layer = self.current_layer if self.current_layer is not None else self.document.getroot() if layer in self.orientation_points: self.error(_("Active layer already has orientation points! Remove them or select another layer!"),"active_layer_already_has_orientation_points") orientation_group = inkex.etree.SubElement(layer, inkex.addNS('g','svg'), {"gcodetools":"Gcodetools orientation group"}) # translate == ['0', '-917.7043'] if layer.get("transform") != None : translate = layer.get("transform").replace("translate(", "").replace(")", "").split(",") else : translate = [0,0] # doc height in pixels (38 mm == 134.64566px) doc_height = self.unittouu(self.document.getroot().xpath('@height', namespaces=inkex.NSS)[0]) if self.document.getroot().get('height') == "100%" : doc_height = 1052.3622047 print_("Overriding height from 100 percents to %s" % doc_height) print_("Document height: " + str(doc_height)); if self.options.coordinates_unit == "MM": points = [[0.,0.,0.],[100.,0.,0.],[0.,100.,0.]] #2019.08.08 - geaendert (Mario Voigt) orientation_scale = 3.5433070660 orientation_scale = 3.5433070660 print_("orientation_scale < 0 ===> switching to mm units=%0.10f"%orientation_scale ) elif self.options.coordinates_unit == "IN": points = [[0.,0.,0.],[5.,0.,0.],[0.,5.,0.]] orientation_scale = 90 print_("orientation_scale < 0 ===> switching to inches units=%0.10f"%orientation_scale ) points = points[:2] print_(("using orientation scale",orientation_scale,"i=",points)) for i in points : # X == Correct! # si == x,y coordinate in px # si have correct coordinates # if layer have any tranform it will be in translate so lets add that si = [i[0]*orientation_scale, (i[1]*orientation_scale)+float(translate[1])] g = inkex.etree.SubElement(orientation_group, inkex.addNS('g','svg'), {'gcodetools': "Gcodetools orientation point (2 points)"}) inkex.etree.SubElement( g, inkex.addNS('path','svg'), { 'style': "stroke:none;fill:#000000;", 'd':'m %s,%s 2.9375,-6.343750000001 0.8125,1.90625 6.843748640396,-6.84374864039 0,0 0.6875,0.6875 -6.84375,6.84375 1.90625,0.812500000001 z z' % (si[0], -si[1]+doc_height), 'gcodetools': "Gcodetools orientation point arrow" }) t = inkex.etree.SubElement( g, inkex.addNS('text','svg'), { 'style': "font-size:10px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;fill:#000000;fill-opacity:1;stroke:none;", inkex.addNS("space","xml"):"preserve", 'x': str(si[0]+10), 'y': str(-si[1]-10+doc_height), 'gcodetools': "Gcodetools orientation point text" }) t.text = "(%s; %s; %s)" % (i[0],i[1],i[2]) ################################################################################ ### ### Effect ### ### Main function of Gcodetools class ### ################################################################################ def effect(self) : global options options = self.options options.self = self options.doc_root = self.document.getroot() # define print_ function global print_ if self.options.log_create_log : try : if os.path.isfile(self.options.log_filename) : os.remove(self.options.log_filename) f = open(self.options.log_filename,"a") f.write("Gcodetools log file.\nStarted at %s.\n%s\n" % (time.strftime("%d.%m.%Y %H:%M:%S"),options.log_filename)) f.close() except : print_ = lambda *x : None else : print_ = lambda *x : None self.get_info() if self.orientation_points == {} : self.error(_("Orientation points have not been defined! A default set of orientation points has been automatically added."),"warning") self.orientation( self.layers[min(0,len(self.layers)-1)] ) self.get_info() self.get_info() self.machine() e = plotter_gcode() e.affect()